Question

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

True or False

Answer 1

TRUE

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=(-b)/(2a)\\\\\text{If}\ b^2-4ac>0\ \text{then the equation has two solutions}\ x=(-b\pm√(b^2-4ac))/(2a)`