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.

解

I f a n u mb er i s s u b t r a c t e d f ro m t h ree t im es i t s s q u a re, t h e res u lt i s tw e n t y - f o u r . F in d a ll s u c h n u mb ers . I f t h ere i s m ore t han o n e an s w er, se p a r a t e t h e m w i t h t h e an d b u tt o n .

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

解答ステップ

Represent the number with

x

A.T.Q.:

3 x^{2} - x = 24

x

を解く

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

仮分数を帯分数に変換する:

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

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