Question

Solve x - Vx = 12 using the formula.​

Answer 1

Answer:

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Answer 2

Answer:

$x - \sqrt{x } = 12 \\ x - 12 = \sqrt{x } \\ squaring \: both \: side \\ {(x - 12)}^{2} = {( \sqrt{x} )}^{2} \\ {x}^{2} - 24x + 144 = x \\ {x}^{2} - 24x - x + 144 = 0 \\ {x}^{2} - 25x + 144 = 0 \\ {x}^{2} - 16x - 9x + 144 = 0 \\ x(x - 16) - 9(x - 16) = 0 \\ (x - 16)(x - 9) = 0 \\ (x - 16) = 0 \: \: \: \: \: \: \: or \: \: \: \: (x - 9 )= 0 \\ x - 16 = 0 \: \: \: \: \: \: \: \: \: \: or \: \: \: \: \: \: x - 9 = 0 \\ x = 16 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: or \: \: \: \: \: \: x = 9$

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