Study guides

☆☆

Q: Is it possible for a quadratic equation to have only one solution?

Write your answer...

Submit

Still have questions?

Related questions

Draw the graph of the equation. the solution is/are the points where the line cuts the x(horisontal) axis .

No because quadratic equations only have 2 X-Intercepts

When you graph the quadratic equation, you have three possibilities... 1. The graph touches x-axis once. Then that quadratic equation only has one solution and you find it by finding the x-intercept. 2. The graph touches x-axis twice. Then that quadratic equation has two solutions and you also find it by finding the x-intercept 3. The graph doesn't touch the x-axis at all. Then that quadratic equation has no solutions. If you really want to find the solutions, you'll have to go to imaginary solutions, where the solutions include negative square roots.

-9

2t2+8t+5 = 0 The expression in this quadratic equation is not so simple to factorise because 5 is a prime number which has only two factors (itself and one) but we can get a near enough solution by using the quadratic equation formula. Using the quadratic equation formula gives the solution as: t = - 0.7752551286 or t = - 3.224744871

The quadratic formula can be used to solve an equation only if the highest degree in the equation is 2.

A quadratic equation is univariate: it has only one variable. A quadratic equation cannot have two variables. So, if b and c are known then it is a quadratic equation in a; if a and b are known it is a quadratic in c.Another Answer:-The question given is Pythagoras' theorem formula for a right angle triangle

at first the first person to solve the quadratic equation is from the middle kingdom of Egypt. Greeks were also able to solve the quadratic equation but that was on the unproper way. Greeks were able to solve the quadratic equation by geometric method or equlid's method. equlid's method contains only three quadratic equation. dipohantus have also solved the quadratic equations but he have solved by giving only two roots any they both were only of positive signs.After that arbhatya also gave the two formulas for quadratic equation but the bentaguptahave only accepted only one of them after theat some of the Indian mathematican have also solved the quadratic equation who gave the proper definations and formula and in this way quadratic equation have been formed. Prabesh Regmi Kanjirowa National School

the maximum number of solutions to a quadratic equation is 2. However, usually there is only 1.

If the solutions are p and q, then the quadratic is (x-p)(x-q) = 0 or x2 - (p+q)x + pq = 0 Hope this is what the question meant!

Yes. x2-4x+4=0 (x-2)(x-2)=0 x=2

Write the quadratic equation in the form ax2 + bx + c = 0 The roots are equal if and only if b2 - 4ac = 0. The expression, b2-4ac is called the [quadratic] discriminant.

If the discriminant of the quadratic equation is equal or greater than zero it will have 2 solutions if it is less than zero then there are no solutions.

No. Well, it depends what you mean with "any quadratic equation". The quadratic formula can solve any equation that can be converted to the form: ax2 + bx + c = 0 Note that it involves only a single variable. There are other limitations as well; for example, no additional operations. If a variable, or the square of a variable, appears in the denominator (1/x, or 1/x2), then some might say that it is "quadratic", but it might no longer be possible to convert the equation into the standard form named above. Similarly, if you have additional operations such as square roots or higher roots, trigonometric functions, etc., it might not be possible to convert the equation into a form that can be solved by the quadratic formula.

Interpreting this equation as y=4x3+4x2 This is not a quadratic equation. By definition, a quadratic equation is a polynomial equation of order two, meaning it is composed only of coefficients multiplied by x's raised to any exponential power of maximum 2. The most that any of the exponents in the equation can be is 2. Since this equation has a term of 4x3, it is not quadratic since this term has an exponent of 3. This means that the equation is of degree three. This equation is a cubic equation.

60

i may only be 10 yrs old but i can say that an equation is not an function like the graphs of quadratic functions you will only be given an equation

a = bx + c bx + (c-a) = 0 x = (a-c)/b It's simple because there is only one solution. This is a quadratic equation: ax2 + bx + c = 0 It has two solutions.

There can be no solution set because there is no equation nor an inequality - only an expression.There can be no solution set because there is no equation nor an inequality - only an expression.There can be no solution set because there is no equation nor an inequality - only an expression.There can be no solution set because there is no equation nor an inequality - only an expression.

2

The first step is to show an example of the quadratic equation in question because the formula given is only the general form of a quadratic equation.

If the discriminant of the quadratic equation is greater than zero then it will have two different solutions. If the discriminant is equal to zero then it will have two equal solutions. If the discriminant is less than zero then it will have no real solutions.

Only a linear equation in one variable x , which is an equation of the form ax + b = 0, (where a is different than 0), has only one solution. The solution is: x = -b/a

a = 0. That is because a = 0 implies that there is no quadratic term and so the equation is not a quadratic!There may be some who make claims depending on the value of the discriminant (which is b2-4ac). That is true only for elementary mathematics. In more advanced mathematics (complex analysis), the quadratic equation can be used in all cases except when a = 0: the value of the discriminant is irrelevant.a = 0. That is because a = 0 implies that there is no quadratic term and so the equation is not a quadratic!There may be some who make claims depending on the value of the discriminant (which is b2-4ac). That is true only for elementary mathematics. In more advanced mathematics (complex analysis), the quadratic equation can be used in all cases except when a = 0: the value of the discriminant is irrelevant.a = 0. That is because a = 0 implies that there is no quadratic term and so the equation is not a quadratic!There may be some who make claims depending on the value of the discriminant (which is b2-4ac). That is true only for elementary mathematics. In more advanced mathematics (complex analysis), the quadratic equation can be used in all cases except when a = 0: the value of the discriminant is irrelevant.a = 0. That is because a = 0 implies that there is no quadratic term and so the equation is not a quadratic!There may be some who make claims depending on the value of the discriminant (which is b2-4ac). That is true only for elementary mathematics. In more advanced mathematics (complex analysis), the quadratic equation can be used in all cases except when a = 0: the value of the discriminant is irrelevant.

no only equations with x2 and lower powers can be considered quadratic. those with x3 cannot be considered quadratic, just as x2 cannot be considered linear