Question

Select the correct answer.One solution to a quadratic function, h, is given.-4 + 71Which statement is true?OA.Function h has no other solutions.OB.The other solution to function h is -4 - 71.O C. The other solution to function h is 4 - 71.OD.The other solution to function h is 4 + 71.ResetNext

Answer 1

From the quadratic equation formula

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

Therefore, if x=-4+7i is a solution to the equation; then,

$-4+7i=-\frac{b}{2a}+\frac{\sqrt[]{b^2-4ac}}{2a}$

Thus, the remaining solution has to be

$-\frac{b}{2a}-\frac{\sqrt[]{b^2-4ac}}{2a}=-4-7i$

The answer is that the other solution has to be -4-7i, option B