Question

Which is the solution of the quadratic equation (4y – 3)2 = 72?

Answer 1

`y= (+6√(2)+3)/(4)`

`y= (-6√(2)+3)/(4)`

Explanation:

(4y – 3)^2 = 72

To find the solution for the given equation we need to solve for y

To remove square we take square root on both sides

`4y-3 = √(72)`

When we take square root we put +-

square root (72) = square root (36 *2) = 6sqrt(2)

`4y-3 = +-6√(2)`

Now we add 3 on both sides

`4y =+-6√(2)+3`

Divide both sides by 4

`y= (+-6√(2)+3)/(4)`

`y= (+6√(2)+3)/(4)`

`y= (-6√(2)+3)/(4)`