Question
What are the solutions to the equation 2(x^2+x-11)^(3)/(2)=54 ? x= and square
Answer
4.4
(255 Votes)
Quentin
Veteran · Tutor for 9 years
Answer
To solve the equation, follow these steps:1. Divide both sides of the equation by 2 to isolate the term on the left side: \(\left(x^{2}+x-11\right)^{\frac{3}{2}} = 27\)2. Take the cube root of both sides to remove the exponent of 3/2:
3. Rearrange the equation to set it equal to zero:
4. Factor the quadratic equation: \((x-3)(x+4) = 0\)5. Set each factor equal to zero and solve for x:
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So, the solutions to the equation are
and
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