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Mathematics 14 Online
OpenStudy (lisa123):

(x^2-x-22)^3/2=27

OpenStudy (danjs):

ok

OpenStudy (danjs):

Is that a quantity cubed all over 2, or to the (3/2) power

OpenStudy (lisa123):

3/2 power

OpenStudy (jadedry):

therefore: \[x ^{2} - x - 22 = \sqrt[3]{27}^2\] \[= x^2 -x -22 = 9 \] =\[= x^2 -x -31 = 0\] using the quadratic equation: = \[(1 + or - \sqrt{1^2-(4 * 1 * -31)}) \div 2\] = 6.09 or -5.09 You can plug these answers int the equation to confirm them.

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