Question

Solve the equation by completing
the
square method
5x² +8x+1=0​

Answer 1

Answer:

$5 {x }^{2} + 8x + 1 = 0 \\ 5 {x}^{2} + 8x = - 1 \\ 5 {x}^{2} + x = \frac{ - 1}{8} \\ 6 {x}^{2} = \frac{ - 1}{8} \\ {x}^{2} = \frac{ \frac{ - 1}{8} }{6 } \\ {x}^{2} = \frac{ - 1}{8} \times 6 \\ {x}^{2} = \frac{ - 1}{4} \times 3 \\ x = \sqrt{ \frac{ - 1}{4} } \times 3$

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