Question

If \sqrt{6x-9}=x

Answer 1

Answer:

$x = 3$

Explanation:

Given

$\sqrt{(6x - 9)} = x$

Required

Find x

$\sqrt{(6x - 9)} = x$

Take Square of both sides

$6x - 9 = x\²$

Convert to a quadratic equation

$x\² - 6x + 9 = 0$

Expand

$x\² - 3x - 3x + 9 = 0$

Factorize

$x(x - 3) - 3(x - 3) = 0$

$(x - 3)(x - 3) = 0$

$(x - 3)\² = 0$

Take square root of both sides

$x - 3 = 0$

Add 3 to both sides

$x = 3$