Solve x 2 6x 7 0 by completing the square

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Slove x2+6x-7=0 quadratic equations by completing square ​

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Question :

  • Solve x²+6x-7=0 quadratic equations by completing square method

To Find :

  • Value of x

Solution :

\tt \implies {x}^{2} + 6x - 7 = 0 \\ \\ \tt \implies {x}^{2} + 6x = 7 \\ \\ \tt Adding \: 9 \: both \: side \\ \\ \tt \implies {x}^{2} + 6x + 9 = 7 + 9 \\ \\ \tt \implies {(x + 3)}^{2} = 16 \\ \\ \tt \implies x + 3 = \sqrt{16} \\ \\ \tt \implies x + 3 = \pm4 \\ \\ \tt \implies x + 3 = 4 \: \: \: \tt or \: \: \: x + 3 = - 4 \\ \\ \large \boxed{ \tt \blue{ x = 1 }}\: \: \: \tt or \: \: \: \boxed {\tt \green{ x = - 7}}


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