Q:

1. Solve.x^2+9x+2=0Enter your answers, as exact values, in the boxes.

Accepted Solution

A:
Answer:[tex]x=\frac{-9}{2} +\frac{1}{2} \sqrt{73}[/tex] or [tex]x=\frac{-9}{2} +\frac{-1}{2} \sqrt{73}[/tex]Step-by-step explanation:Step 1: Use quadratic formula with a=1, b=9, c=2.[tex]x=\frac{-b±\sqrt{b^{2} -4ac} }{2a}[/tex][tex]x=\frac{-(9)±\sqrt{(9)^{2}-4(1)(2)} }{2(1)}[/tex][tex]x=\frac{-9±\sqrt{73} }{2}[/tex][tex]x=\frac{-9}{2} +\frac{1}{2} \sqrt{73}[/tex] or [tex]x=\frac{-9}{2} +\frac{-1}{2} \sqrt{73}[/tex](Ignore the Â)