Question

solve the equation (4+x)^2=(2+x) (7+x)

Answer 1

Answer:

$</p><p>(4+x)^2 = (2+x)(7+x)\\ \\ \\</p><p>identity - (a+b)^2 = a^2+2ab+b^2 \\ \\ \\</p><p>(4)^2+2(4×x)+(x)^2 = 2(7+x)+x(7+x)\\ \\ \\</p><p>16+8x+x^2 = 14+2x+7x+x^2 \\ \\ \\</p><p>16+8x+x^2 = 14+9x+x^2 \\ \\ \\</p><p>subtracting\: x^2 \: from\: both \: sides\\ \\ \\</p><p>16+8x = 14+9x\\ \\ \\</p><p>9x-8x = 16-14\\ \\ \\</p><p>x = 2$

Answer 2

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