Question

true or false6. If the discriminant in the quadratic formula is equal to 0, there is one root of multiplicity 2.

Answer 1

True

Step-by-step explanation

In the quadractic formula:

`\begin{gathered} ax^2+bx+c=0 \\ x=\frac{-b\pm\sqrt[]{b^2-4ac}}{2a} \end{gathered}`

The discriminant is the part of the formula that's inside the square root: b² - 4ac. If this equals to zero, then we have in the formula that:

`x=(-b)/(2a)`

In a quadratic equation if there are real roots, then there are always two. If the discriminant is 0 then we know that there's one root, but with multiplicity 2.

Therefore, this statement is true.