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

解

I f a n u mb er i s s u b t r a c t e d f ro m s i x t im es i t s s q u a re, t h e res u lt i s tw e n t y - tw o . F in d a ll s u c h n u mb ers .

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

解答ステップ

Represent the number with

x

A.T.Q.:

6 x^{2} - x = 22

x

を解く

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

仮分数を帯分数に変換する:

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

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