General form of a quadratic equation is: ax2+b+c = 0
The discriminant is: b2-4ac
If the discriminant equals zero then there are two equal roots
If the discriminant is greater than zero then there are two different roots
If the discriminant is less than zero then there are no real roots
The quadratic has no real solutions.
the square root of b squared minus 4 times a times c
Quadratic equation
Write an algorithm to find the root of quadratic equation
It is used to solve quadratic equations that cannot be factored. Usually you would factor a quadratic equation, identify the critical values and solve, but when you cannot factor you utilize the quadratic equation.
A quadratic equation has one discriminant.
If the discriminant of a quadratic equation is less then 0 then it will have no real solutions.
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.
If the discriminant of a quadratic equation is zero then it has two identical roots.
It can tell you three things about the quadratic equation:- 1. That the equation has 2 equal roots when the discriminant is equal to zero. 2. That the equation has 2 distinctive roots when the discriminant is greater than zero. £. That the equation has no real roots when the discriminant is less than zero.
The discriminant of the quadratic equation: y = ax^2 + bx + c is b^2 - 4ac
The discriminant
Rational.
The quadratic has no real solutions.
If the discriminant of a quadratic equation is less than zero then it has no solutions.
The discriminant of the quadratic polynomial ax2 + bx + c is b2 - 4ac.
Because the square root of the discriminant is a component of the roots of the equation.