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Solve x2 + 8x − 3 = 0 using the completing-the-square method.

Jodi Brooks

in Mathematics

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Megan Page on June 13, 2018

x2 + 8x - 3 = 0 x2 + 8x - 3 + 19 = 0 + 19 x2 + 8x + 16 = 19 x2 + 4x + 4x + 16 = 19x(x) + x(4) + 4(x) + 4(4) = 19 x(x + 4) + 4(x + 4) = 19 (x + 4)(x + 4) = 19 (x + 4)2 = 19 (√x + 4)2 = √x 19+ 4 = ±√19 - 4 - 4 x = -4 ± √19


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