If $y = \sqrt{ax-b}$ express x in terms of y, a and b

Assessment: WAEC SSCE - General Mathematics - 1999 (Objective) Subject: General Mathematics

Question 1 Report

$x = \frac{y^2-b}{a}$

$x = \frac{y+b}{a}$

$x = \frac{y-b}{a}$

$x = \frac{y^2 + b}{a}$

Answer Details

Given, $y = \sqrt{ax-b}$. Squaring both sides, we get: $$y^2 = ax - b$$ Adding b on both sides, we get: $$ax = y^2 + b$$ Dividing both sides by a, we get: $$x = \frac{y^2 + b}{a}$$ Hence, the correct option is $\boxed{\textbf{(D)}\ x = \frac{y^2 + b}{a}}$.

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