Question

Find the solution using the Quadratic Formula. (show work) 2x + 8x+ 5 = 0 a. 47 ſ6 b. -27 56 c. -2± √3​

Answer 1

The roots of the equation for the given quadratic equation is
`-2\pm (√(6))/(2)` .

Explanation:

Given quadratic equation as :

2 x² + 8 x + 5 = 0

The roots of the quadratic equation ax² + bx + c = 0 as can be find as :

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

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

or, x =
`(-8\pm √(64-40))/(4)`

Or, x =
`(-8\pm √(24))/(4)`

Or, x =
`(-8\pm 2√(6))/(4)`

∴ x =
`-2\pm (√(6))/(2)`

Hence The roots of the equation for the given quadratic equation is
`-2\pm (√(6))/(2)` . Answer