Solve the equation. (x^{2}-x-22)^{\frac{3}{2}}=27

Cheyanne Leigh

Cheyanne Leigh

Answered question

2021-09-23

Solve the equation.
(x2x22)32=27

Answer & Explanation

Aniqa O'Neill

Aniqa O'Neill

Skilled2021-09-24Added 100 answers

Given
(x2x22)32=27
We have to solve it for x.
Taking square on both side,
((x2x22)32)2=272
(x2x22)3=729
Again taking cube root of both side,
Therefore we get,
x2x22=9x2x229=0
x2x31=0
Now we have to solve this quadratic equation for x.
Step 3:
We solve it now for x,
Remind that,
x=b±b24ac2a
x=1±14(1)(31)2(1)=1±1+1242=1±1252
x=1±552
Hence,
x=1+552 or x=1552

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