Question

Make X the subject of the formula

$y = \sqrt{ax + b}$
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Answer 1

Answer:

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

Step-by-step explanation:

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

Answer 2

Answer:

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

Step-by-step explanation:

Given

y = $\sqrt{ax+b}$ ( square both sides )

y² = ax + b ( subtract b from both sides )

y² - b = ax ( isolate x by dividing both sides by a )

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