If a number is subtracted from three times its square, the result is twenty-four. Find all such numbers.If there is more than one answer, separate them with the and button.

Solution

Solution

The number : 3 or - 2 \frac{2}{3}

Solution steps

Represent the number with

x

A.T.Q.:

3 x^{2} - x = 24

Solve for

x, 3 x^{2} - x = 24 : x = 3, x = - \frac{8}{3}

Convert improper fractions to mixed numbers:

\frac{8}{3} = 2 \frac{2}{3}

The number : 3 or - 2 \frac{2}{3}

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