Question

Solve 6x2 = 12x − 24

Answer 1

Assuming the left side is 6x^2,

Divide both sides by 6:

$x^{2} = 2x - 4$

Set the equation to equal 0 by subtracting both sides by the left side:

$x^{2} - 2x + 4 = 0$

Use the quadratic formula to solve for x:

$x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}$

$a = 1, b = -2, c = 4$

$\frac{2\pm\sqrt{-2^2-4(1)(4)}}{2(1)} = \frac{2\pm\sqrt{-12}}{2}$

$\frac{2\pm\sqrt{-12}}{2} = 1 - i \sqrt{3}, 1 + i\sqrt{3}$

x will equal 1 - i sqrt(3) and 1 + i sqrt(3).