Question

What are the solutions to the quadratic equation (5y + 6)2 = 24?

Answer 1

To solve for y, apply the distributive property:

`10y + 12 = 24`
Then, subtract 12 from both sides and you will get:

`10y = 12 \\`
Then solve for y, by dividing both sides by 10.

Your final answer will be y=1.2

Answer 2

The correct answers would be
`(-6 +/- 2√(6) )/(5)`

We can find this answer by first putting it into standard form. To do this we need to multiply the parenthesis and then solve for 0.

(5y + 6)^2 = 24
25y^2 + 60y + 36 = 24
25y^2 + 60y + 12 = 0

Now we can find the a, b and c values for the quadratic equation based on the standard form.

a = 25 (number attached to x^2)
b = 60 (number attached to x)
c = 12 (number with no variable)

Now we use these in the quadratic equation and simplify.


`\frac{-b +/- \sqrt{ b^(2) -4ac } }{2a}`


`\frac{-60 +/- \sqrt{ 60^(2) -4(25)(12) } }{2(25)}`


`(-60 +/- √( 2400 ) )/(50)`


`(-6 +/- 2√(6) )/(5)`