Make X the subject of the formula y = √(ax + b) ​

Question

Make X the subject of the formula


`y = √(ax + b)`
​

Answer 1

x =
`(y^2-b)/(a)`

Explanation:

Given

y =
`√(ax+b)` ( square both sides )

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

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

`(y^2-b)/(a)` = x

Answer 2

`x = \frac{y {}^(2) - b }{a}`

Explanation:

`y = √(ax + b) \\ y {}^(2) = ax + b \\ ax = y {}^(2) - b \\ x = \frac{y {}^(2) - b }{a}`