Question

Solve for x:

$\sqrt{6x + 7} - (2x - 7) = 0$

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Answer 1

is right answer please give me marked brilliant

Answer 2

Given : √6x + 7 - (2x - 7) = 0

On squaring both sides, we get

⇒ √(6x + 7)² = (2x - 7)²

⇒ 6x + 7 = 4x² + 49 - 28x

⇒ 6x + 28x = 4x² + 42

⇒ 4x² - 34x + 42 = 0

⇒ 2x² - 17x + 21 = 0

⇒ 2x² -  3x - 14x + 21 = 0

⇒ x(2x - 3) - 7(2x - 3) = 0

⇒ (x - 7)(2x - 3) = 0

⇒ x = 7,3/2.

x = 3/2 doesn't satisfy the equation.

Therefore, the value of x = 7.

Hope this helps!