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

Answer:

The roots of the equation for the given quadratic equation is               $-2\pm \frac{\sqrt{6}}{2}$ .

Step-by-step 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 = $\frac{-b\pm \sqrt{b^{2}-4\times a\times c}}{2\times a}$

x = $\frac{-8\pm \sqrt{8^{2}-4\times 2\times 5}}{2\times 2}$

or, x = $\frac{-8\pm \sqrt{64-40}}{4}$

Or, x = $\frac{-8\pm \sqrt{24}}{4}$

Or, x = $\frac{-8\pm 2\sqrt{6}}{4}$

∴ x = $-2\pm \frac{\sqrt{6}}{2}$

Hence The roots of the equation for the given quadratic equation is $-2\pm \frac{\sqrt{6}}{2}$ . Answer