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What two numbers give you a product of 6.25 and a sum of 5?
Not two numbers- the same number twice: 2.5 and 2.5. To find this out, use simultaneous equations: xy=6.25 and x+y=5. Rearrange the second equation to y=5-x and substitute this value for y into the first equation: x(5-x)=6.25. Expand the brackets to get 5x-x2=6.25, subtract 6.25 from both sides to get -x2+5x-6.25=0. Apply the quadratic formula to find the final answer.
What is the turning point in the graph of a quadratic function?
The answer depends on the form in which the quadratic function is given. If it is y = ax2 + bx + c then the x-coordinate of the turning point is -b/(2a)
How would you explain to someone who has not yet studied trigonometry the difference between an identity and an equation?
An identity is true for all values of the variable whereas an equation is true for only a finite number of values.For example,Identity: (x + 2)3 = x3 + 6x2 + 12x + 27 is true, whatever the value of x.ButEquation: x3 - x = 0 is true only when x = -1, 0 or 1.
What is y equals m x plus b?
Y=mx+b is the equation of a straight line graph in mathematics. Answer Y = mX + b This is the general form of an Equation for a Straight Line when plotted on a coordinates of X versus Y. where. m = slope of the line b = intercept point of the Y-Axis (or the value of Y when X=0)
If the terminal side of an angle beta is in quadrant III what is the sign of each of the trigonometric function value of beta?
Tangent and cotangent positive; other 4 negative.
What is the value of b2-4ac equal to 0?
It is the value of the discriminant of a quadratic equation.
Which values for a b or c can you not use the quadratic equation?
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.
What are the roots of quadratic equation?
That depends on the value of its discriminant if its less than zero then it has no real roots.
What is the value of the discriminant of the polynimial 4x2 plus 7x plus 4?
72-4*4*4 = -15 The discriminant is less than zero so there's no solutions to the quadratic equation.
What is the formula for finding the value of x in the quadratic equation ax2 bx c0?
Unfortunately, limitations of the browser used by Answers.com means that we cannot see most symbols. It is therefore impossible to give a proper answer to your question. However, assuming your question to find the roots or solutions of ax2 + bx + c = 0, the answer is x = [-b ± sqrt(b2 - 4ac)]/2a b2 - 4ac is called the discriminant. If the discriminant > 0 then the quadratic equation has two distinct real roots. If the discriminant = 0 then the quadratic equation has one double root. If the discriminant < 0 then the quadratic equation has two distinct complex roots that are conjugates of one another.
What is the type of the solution determined by?
It depends on the discriminant value of the quadratic equation. If the discriminant is positive, there are two distinct real solutions; if it is zero, there is one real solution; and if it is negative, there are two complex conjugate solutions.
What are the possible values of k in the quadratic equation x squared plus 5kx plus 2k equals 0 which has equal real roots?
Using the discriminant formula for a quadratic equation k has a value of 8/25 or maybe 0.
What is the value of k when 4x squared plus kx plus 9 equals 0?
Using the discriminant for a quadratic equation the value of k works out as plus or minus 12.
What is the discriminant?
If a quadratic equation is ax2+bx+cthen we can learn something about the roots withoutcompletely solving the quadratic formula.The discriminant is b2-4ac. You may recognize this as part of the quadratic formula.If the value is a non-zero perfect square, there are 2 rational rootsIf the value is an imperfect square, there are 2 irrational rootsIf the value is zero, there is 1 rational root (parabola vertex is on the x-axis)If the value is negative, there are imaginary roots (no intersection with x-axis)The discriminant, therefore, tells us the nature of the roots.
What is the value of the discriminant for the quadratic equation d2-7d 80?
Some symbols not visible. Please resubmit using words eg "plus", "equals" etc
What is the value of the discriminant for the quadratic equation 2a2 7a 3 0?
The discriminant is b^2-4ac. So, b=7, a=2, and c=3. 7^2=49-4(2)(3)=49-24=25. So the discriminant is 25.
Explain why the roots of a quadratic equation are imaginary if the value of the discriminant is less than 0?
The square of any real number is non-negative. So no real number can have a negative square. Consequently, a negative number cannot have a real square root. If the discriminant is less than zero, the quadratic equation requires the square root of that negative value, which cannot be real and so must be imaginary.
