Question

Find the larger of the two roots of the equationy = -2.2x^2+ 63.5x - 17Round your answer to the nearest hundredth.

Answer 1

Given data:

The given expression is y = -2.2x^2+ 63.5x - 17.

The expression for the roots of the given equation is,

$\begin{gathered} -2.2x^2+63.5x-17=0 \\ x=\frac{-63.5\pm\text{ }\sqrt[]{(63.5)^2-4(-2.2)(-17)}}{2(-2.2)} \\ =\frac{-63.5\pm(62.31091)}{-4.4} \\ =0.27024,\text{ 28.5933} \\ \approx0.27,\text{ 28.59} \end{gathered}$

Thus, the larger of the root is 28.59.