Question

Find the roots of a quadratic equation
x2 + √2x -12=0

Answer 1

$heya \\ \\ \\ x {}^{2} + x \sqrt{2} - 12 = 0 \\ \\ \\ \\ x {}^{2} + 3x \sqrt{2} - 2x \sqrt{2} - 12 = 0 \\ \\ \\ \\ x(x + 3 \sqrt{2} ) - 2 \sqrt{2} (x + 3 \sqrt{2} ) = 0 \\ \\ \\ \\ \\ (x + 3 \sqrt{2} ) = 0 \: \: \: \: \: or \: \: \: \: \: (x - 2 \sqrt{2} ) = 0 \\ \\ \\ \\ x = - 3 \sqrt{2} \: \: \: \: or \: \: \: \: \: x = 2 \sqrt{2}$