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Stels [109]
3 years ago
11

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

Mathematics
1 answer:
Nookie1986 [14]3 years ago
8 0

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

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