Question

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

Answer 1

Good morning ☕️

Answer:

$y=\frac{-6+\sqrt{24} }{5} \\\\or \\\\y=\frac{-6-\sqrt{24} }{5}$

Step-by-step explanation:

(5y + 6)^2 = 24

⇔

5y + 6 = ±√24    (Just we apply the square root on both sides of the equation)

⇔

5y = -6 ±√24   (We move 6 to the right hand side)

⇔

y = [-6 ±√24]/5  (divide both sides by 5)

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NOTE : we can also simplify √24 to 2√6

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:)

Answer 2

Step-by-step explanation:

(5y+6)^2=24

i.e, 25y^2+60y+36=24

i.e, 25y^2+60y+12=0

i.e, using rule of quadratic equns

y= {-60±√3600-(4×25×12)}/2×25

i.e,y= (-60±√2400)/50

i.e,y= -1.2 ± 0.4√6

✌️:)