Question #35534

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Answer 1 · 2017-08-13T22:08:35

#x approx - 4.464, 2.464#

We have: #5 (x + 1)^(2) = 60#

First, let's divide both sides of the equation by #5#:

#Rightarrow frac(5 (x + 1)^(2))(5) = frac(60)(5)#

#Rightarrow (x + 1)^(2) = 12#

Then, let's take the square root of both sides of the equation:

#Rightarrow sqrt((x + 1)^(2)) = pm sqrt(12)#

#Rightarrow x + 1 = pm sqrt(3 cdot 4)#

#Rightarrow x + 1 = pm 2 sqrt(3)#

#Rightarrow x = - 1 pm 2 sqrt(3)#

#therefore x approx - 4.464, 2.464#

Therefore, the other solution of the equation is #x = - 4.464...#.