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The real solutions are the points at which the graph of the function crosses

the x-axis.

If the graph never crosses the x-axis, then the solutions are imaginary.

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โˆ™ 2012-10-26 22:29:05
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Q: How are the real solutions of a quadratic equation related to the graph of the quadratic function?
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Related questions

Does quadratic equation relate to science?

No, the quadratic equation, is mainly used in math to find solutions to quadratic expressions. It is not related to science in any way.

How does the quadratic function related to your daily life?

The quadratic equation has many application related to resolving and modelling daily life problems. two examples are in archery and rifle sports. The trajectory of the projectile can follow a ballistic arc. The arc itself can be explained and graphically illustrated by the quadratic equation.

What is quadratic mean?

Quadratic is an adjective that is used to describe something that is related to squares. For example, the quadratic equation uses squares, or the second power, and is thus quadratic.

How are the graph of an equation and the set of all solutions of an equation related?

The coordinates of every point on the graph, and no other points, are solutions of the equation.

Is it true that if two variables are not linearly correlated then they are not related?

false they can be related with quadratic equation as well

How do you compute quadratic equation in qbasic programming?

See the related link for details.

How are equation and graphs related?

The graph of an equation represents the solution set of the equation, that is all the solutions of the equation are points that lie on the graph and all the points that lie on the graph are solutions of the equation.

How are the sum and product of the solutions of a quadratic equation related to the coefficients of the equation?

If you have a quadratic, which is factored like (x - P)(x - Q) = 0, so P & Q are solutions for x. Multiplying the binomials gives: x2 - Px - Qx + PQ = 0 ---> x2 - (P+Q)x + PQ = 0, so the negative of the sum is the coefficient of the x term, and the product is the constant term (no variable x).

When is an equation not quadratic?

When it has no squares (exponent of 2).If an equation of one variable can be rearranged into a polynomial a*x^2 + b*x + c = 0, where x is the variable, and [a,b, & c] are constants and a does not equal zero, then it is a quadratic equation.If it has more than one variable, or higher powers of the variable x, then it is not a quadratic equation. See related link.

What is the third step in solving this equation by completing the square?

Completing the square is one method for solving a quadratic equation. A quadratic equation can also be solved by several methods including factoring, graphing, using the square roots or the quadratic formula. Completing the square will always work when solving quadratic equations and is a good tool to have. Solving a quadratic equation by completing the square is used in a lot of word problems.I want you to follow the related link that explains the concept of completing the square clearly and gives some examples. that video is from brightstorm.

How is the constant term of a quadratic function related to the y-intercept of its graph?

It is the y-coordinate of the intercept (the x-coordinate being 0).

What is 12x2-14x plus 4 equals 0?

That is a quadratic equation. You can solve it easily if you factor it to 2(2x - 1)(3x - 2) and find what makes each factor 0. The solutions are 1/2 and 2/3; you can see the steps taken to get here using the link under "related links".

How do you tell if a quadratic function is minimum value or a maximum vale?

Standard notation for a quadratic function: y= ax2 + bx + c which forms a parabola, a is positive , minimum value (parabola opens upwards on an x-y graph) a is negative, maximum value (parabola opens downward) See related link.

X2 plus 9x plus 8?

If you mean x² + 9x +8 = 0 you use the quadratic equation. Go the the Related links for a detailed explanation at, "The World's Encyclopedia"

How do you factorise x2-11x-10?

This does not factor over the field of rational numbers. If does factor over the reals. Use the quadratic formula to find the roots for the related quadratic equation: x2-11x-10 = 0 Cal them r1 and r2. The factors are (x - r1) and (x - r2.)

Why does symmetry occur in quadratic function?

That's related to the fact that, for example, x squared is the same as (-x) squared. Note that any equation of the form "x squared + bx + c = 0", with constants a, b, and c can be rewritten as "(x - d) squared + f = 0", for possibly different constants d and f.

What are three key words or phases related to solutions?

Three key words or phases that are related to solutions are concentration, solubility, and particles. Solutions contain all of these things.

In physiology function is related to its?

In dealing with physiology, function is related to its?

How do you draw a quadratic curve in Excel?

The related link below illustrates 3 ways of drawing a curve. The techniques are easily adapted to a quadratic curve.

How do you do quadratic sequences?

See related link below for a very good explanation

Is 297 a triangular number?

The formula for finding the nth triangular number is: tn = n(n+1)/2.If 297 is the nth triangular number then 297 = n(n+1)/2Now we have a equation, if the solution of the equation is a natural number then 297 is a triangular number otherwise it is not.297 = n(n+1)/2297 x 2 = n2 + nn2 + n = 594n2 + n - 594 = 0, which is a quadratic equation.And the solutions of the equation are:n = (-1 - (2377)1/2)/2n = ((2377)1/2 - 1)/2As it can be seen the value of n is not a natural number so 297 can't be triangular number.Please visit the related links for more info about triangular number and quadratic equation and their solution.

How was the quadratic formula developed?

The quadratic formula can be derived by used a method called completing the square. It's like using algebra to solve for x. The process is explained the related link "Derivation of Quadratic Formula".

How are mixture and solutions related?

of course they are idiot

What is the differentiation and integration?

In Calculus, differentiation is when you apply the theorems to get the derived equation at a given rate, for example you have the velocity function and if you take its derivative, it will give you an acceleration function related to its velocity. Derivatives are often denoted as f'(x) or y'. Integration on the other hand is undoing differentiation. for ex, if you integrate acceleration equation, it will give you a velocity equation.

How can you tell if it not function of x?

If what is meant is that the exercise asks whether or not y is a function of x, then it can be determined by a brief experiment with the numbers and variables presented in the equation written. If y is isolated from x depending on the organization of whichever total side of the equation where both variables are written, then it becomes simpler to find whether or not y is a function of x. For example, if the equation is written y2 = x + 4, then y is a function of x because x and y are isolated to different sides of the equation. But if the equation is written, for instance, as y2 + 5x = 4, then y is not a function of x because x and y are not isolated to different sides of the given equation. Furthermore, this rule does not depend upon fractions or estimations. The rule holds true because y is a function of x if x and y are related according to the format of the whole equation and the numbers it contains.