Question

Use the quadratic formula to solve the problem: y=2x²+4x-6be sure to show all your work

Answer 1

`x\text{ =}\frac{-b\pm\sqrt[]{b^2-4ac}}{2a}`

That above is the quadratic formula where

a = 2

b = 4

c = -6

`x=\frac{-4\pm\sqrt[]{4^2-4*2*-6}}{2*2}`
`\begin{gathered} x\text{ = }\frac{-4\pm\sqrt[]{16+48}}{4} \\ x=\frac{-4\pm\sqrt[]{64}}{4} \\ x\text{ = }(-4\pm8)/(4) \end{gathered}`
`\begin{gathered} x\text{ =}\frac{-4\text{ + 8}}{4\text{ }}=(4)/(4)=1 \\ or \\ x\text{ = }(-4-8)/(4)=(-12)/(4)=-3 \end{gathered}`