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
✌️:)
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Answer:
[tex]y=\frac{-6+\sqrt{24} }{5} \\\\or \\\\y=\frac{-6-\sqrt{24} }{5}[/tex]
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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