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

User Elp
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2 Answers

3 votes
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
User Fbstj
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7.5k points
3 votes
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)
User Tek Kshetri
by
7.3k points

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