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.
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
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.
It has no roots because the discriminant of the given quadratic equation is less than zero.
It can't be solved because the discriminant of the given quadratic equation is less than zero meaning it has no real roots.
The roots of the quadratic equation are the x-intercepts of the curve.
That depends on the equation.
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
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.
Because it's part of the quadratic equation formula in finding the roots of a quadratic equation.
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.
Where the equation is ax2 + bx + c the roots are given by the solutions to : (-b +/- sqrt(b2 - 4ac))/2a
It has no roots because the discriminant of the given quadratic equation is less than zero.
2 roots
It can't be solved because the discriminant of the given quadratic equation is less than zero meaning it has no real roots.
The roots of the quadratic equation are the x-intercepts of the curve.
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.
By using the quadratic equation formula