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If f(x) = 0 is a quadratic equation in x, then the roots of f(x) are the values of x which make the equation true.
If f(x) = ax^2 + bx + c = 0
then the roots are
[-b - sqrt(b^2 - 4ac)]/(2a)] and [-b + sqrt(b^2 - 4ac)]/(2a)].
Conversely,
given the roots of f(x) = 0 are s and t then
f(x) = x^2 - (s+t)*x + st.
What else can I help you with?
Formula of quadratic equation if roots are given?
A quadratic equation has the form: x^2 - (sum of the roots)x + product of the roots = 0 or, x^2 - (r1 + r2)x + (r1)(r2) = 0
What are quadratic equations with real roots?
If the discriminant of the quadratic equation is zero then it will have 2 equal roots. If the discriminant of the quadratic equation is greater than zero then it will have 2 different roots. If the discriminant of the quadratic equation is less than zero then it will have no roots.
What is the sum of the roots of the equation -x squared equal to 3x plus 4?
It has no roots because the discriminant of the given quadratic equation is less than zero.
How do you solve a quadratic equation graphically?
The roots of the quadratic equation are the x-intercepts of the curve.
How do you solve 12x squared plus 9x plus 15 equals 0 with quadratic formula?
It can't be solved because the discriminant of the given quadratic equation is less than zero meaning it has no real roots.
What are the roots of the quadratic equation below?
That depends on the equation.
Formula of quadratic equation if roots are given?
A quadratic equation has the form: x^2 - (sum of the roots)x + product of the roots = 0 or, x^2 - (r1 + r2)x + (r1)(r2) = 0
What are quadratic equations with real roots?
If the discriminant of the quadratic equation is zero then it will have 2 equal roots. If the discriminant of the quadratic equation is greater than zero then it will have 2 different roots. If the discriminant of the quadratic equation is less than zero then it will have no roots.
Why do you use square roots to solve quadratic equations?
Because it's part of the quadratic equation formula in finding the roots of a quadratic equation.
Can the answer to a quadratic equation be a decimal?
Yes. You can calculate the two roots of a quadratic equation by using the quadratic formula, and because there are square roots on the quadratic formula, and if the radicand is not a perfect square, so the answer to that equation has decimal.
A function to compute the real roots of the quadratic equation?
Where the equation is ax2 + bx + c the roots are given by the solutions to : (-b +/- sqrt(b2 - 4ac))/2a
What is the sum of the roots of the equation -x squared equal to 3x plus 4?
It has no roots because the discriminant of the given quadratic equation is less than zero.
How many roots does a quadratic equation?
2 roots
How do you solve a quadratic equation graphically?
The roots of the quadratic equation are the x-intercepts of the curve.
How do you solve 12x squared plus 9x plus 15 equals 0 with quadratic formula?
It can't be solved because the discriminant of the given quadratic equation is less than zero meaning it has no real roots.
How many roots does a quadratic equation in one variable have?
A quadratic equation has two roots. They may be similar or dissimilar. As the highest power of a quadratic equation is 2 , there are 2 roots. Similarly, in the cubic equation, the highest power is 3, so it has three equal or unequal roots. So the highest power of an equation is the answer to the no of roots of that particular equation.
How do you formulate quadratic equation that can be solve by extracting square roots?
By using the quadratic equation formula
