Math, asked by PragyaTbia, 11 months ago

Solve the given quadratic equation:
8x² + 2x + 1 = 0

Answers

Answered by Anonymous
7

Answer:


Step-by-step explanation:

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Answered by hukam0685
16
To solve this equation, let us apply Quadratic formula

8 {x}^{2} + 2x + 1 = 0 \\ \\ a = 8 \\ \\ b = 2 \\ \\ c = 1 \\ \\ x_{1,2} = \frac{ - b ± \sqrt{ {b}^{2} - 4ac} }{2a} \\ \\ x_{1,2} = \frac{ - 2 ± \sqrt{ {(2)}^{2} - 4(8)(1)} }{2 \times 8} \\ \\ x_{1,2} = \frac{ - 2 ± \sqrt{ 4 - 32} }{16} \\ \\ x_{1,2} = \frac{ - 2±\sqrt{ - 28} }{16} \\ \\ \\ x_{1,2} = \frac{ - 2 ± 2i\sqrt{7}}{16} \\ \\ x_{1,2} = \frac{ - 1 ± i\sqrt{7}}{8} \\ \\ x_{1} = \frac{ - 1 + i\sqrt{7}}{8} \\ \\ x_{2} = \frac{ - 1 - i\sqrt{7}}{8} \\ \\
Hope it helps you.
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