Given that 5√x - y = √x +2. express x in terms of y.

answer:

step-by-step explanation:

the given expression is

5√x - y = √x +2.

to express x in terms of y, x would be on the left hand side of the equation and y would be on the right hand side of the equation.

we would square the left hand side of the equation and the right hand side of the equation, it becomes

(5√x)^2 - y^2 = (√x)^2 +2^2.

5x - y^2 = x + 4.

subtracting x from both sides of the equation and adding y^2 to both sides of the equation, it becomes

5x - x = y^2 + 4

4x = y^2 + 4

x = ( y^2 + 4)/4 = y^2/4 + 1

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