Question

If a quadratic equation only has one solution, it's discriminant is zero.

True or False

Answer 1

Answer:

TRUE

Step-by-step explanation:

$\text{The quadratic equation:}$

$ax^2+bx+c=0$

$\text{The discriminant:}$

$b^2-4ac$

$\text{If}\ b^2-4ac<0\ \text{then the equation has no solution}\\\\\text{If}\ b^2-4ac=0\ \text{then the equation has one solution}\ x=\dfrac{-b}{2a}\\\\\text{If}\ b^2-4ac>0\ \text{then the equation has two solutions}\ x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}$