Question

Solve the following equation by using perfect square method....​

Answer 1

To Solve This Using Perfect Square Method or Completing the Square Method, Follow the steps.

$- 7 {x}^{2} - 8x + 3 = 0 \\ - 7 {x}^{2} - 8x = - 3$

Divide Both Sides by -7

${x}^{2} + \frac{8}{7} x = \frac{3}{7}$

Add Both Sides by $(\frac{8}{14} ) ^{2}$

${x}^{2} + \frac{8}{7} x + ( \frac{8}{14} )^{2} = \frac{3}{7} + ( \frac{8}{14} ) ^{2} \\ (x + \frac{8}{14} ) ^{2} = \frac{3}{7} + \frac{64}{196} \\ (x + \frac{4}{7} ) ^{2} = \frac{37}{49} \\ x + \frac{4}{7} = ±\sqrt{ \frac{37}{49} } \\ x + \frac{4}{7} = ± \frac{ \sqrt{37} }{7} \\ x = ± \frac{ \sqrt{37} }{7} - \frac{4}{7} \\ x = \frac{ \sqrt{37 }±4}{7}$

❤Hope it Helps❤

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