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Popular >

If a number is subtracted from six times its square, the result is twenty-two. Find all such numbers.

Solution

If a number is subtracted from six times its square, the result is twenty-two. Find all such numbers.

Solution

The number : 2 or - 1 \frac{5}{6}

Solution steps

Represent the number with

x

A.T.Q.:

6 x^{2} - x = 22

Solve for

x, 6 x^{2} - x = 22 : x = 2, x = - \frac{11}{6}

Convert improper fractions to mixed numbers:

\frac{11}{6} = 1 \frac{5}{6}

The number : 2 or - 1 \frac{5}{6}

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