Question

Chapter: algebraic formulae please help ​
it's 20 points... Pls help.. very urgent

Answer 1

`\displaystyle x=(4y^2+4y+1)/(9)`

Explanation:

To express x in terms of y, we will solve for x by isolating the variable.

Given:

`2y=3√(x)-1`

Add 1 to both sides of the equation:

`1+2y=3√(x)`

Divide both sides of the equation by 3:

`\displaystyle (1+2y)/(3) =√(x)`

Square both sides of the equation:

`\displaystyle (4y^2+4y+1)/(9)=x`

Reflexive property:

`\displaystyle x=(4y^2+4y+1)/(9)`