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What is the solutions of the equation? 3^5sqrt(x+2)^3 +3=27

PLS HELPPPP!! i’ve been stuck for an hour

User Skwal
by
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1 Answer

4 votes

Answer:

274/25 or 10.96

Explanation:

STEP1:Isolate the square root on the left hand side

Original equation

3+5√x+2+3+3 = 27

Isolate

5√x+2 = -3-3-3+27

Tidy up

5√x+2 = 18

STEP2:Eliminate the radical on the left hand side

Raise both sides to the second power

(5√x+2)2 = (18)2

After squaring

25x+50 = 324

STEP3:Solve the linear equation

Rearranged equation

25x -274 = 0

Add 274 to both sides

25x = 274

Divide both sides by 25

A possible solution is :

x = (274/25)

STEP4:Check that the solution is correct

Original equation, root isolated, after tidy up

5√x+2 = 18

Plug in (274/25) for x

5√(274/25)+2 = 18

Simplify

5√12.96 = 18

Solution checks !!

Solution is:

x = (274/25)

One solution was found :

x = (274/25)

User Hannoun Yassir
by
8.1k points
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