Solve this quadratic equation using the quadratic formula. x² + 8x - 5 = 0

Solution:

Given, the quadratic equation is x² + 8x - 5 = 0.

By quadratic formula,

\(x=\frac{-b\pm \sqrt{b^{2}-4ac}}{2a}\)

Here, a = 1, b = 8, c = -5

\(x=\frac{-8\pm \sqrt{(8)^{2}-4(1)(-5)}}{2(1)}\)

\(x=\frac{-8\pm \sqrt{64+20}}{2}\)

\(x=\frac{-8\pm \sqrt{84}}{2}\)

\(x=\frac{-8\pm9.165}{2}\)

\(\\x=\frac{-8+9.165}{2}\\x=\frac{1.165}{2}\\x=0.5825\)

\(\\x=\frac{-8-9.165}{2}\\x=\frac{17.165}{2}\\x=8.5825\)

Therefore, the values of x are 0.5825 and 8.5825

Solve this quadratic equation using the quadratic formula. x² + 8x - 5 = 0

Summary:

The solution of the quadratic equation x² + 8x - 5 = 0 using the quadratic formula is 0.5825 and 8.5825