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受欢迎的代数 >

(15c^2-8c)/3 =4

解答

\frac{15 c ^{2} - 8 c}{3} = 4

解答

c = \frac{6}{5}, c = - \frac{2}{3}

+1

十进制

c = 1.2, c = - 0.66666 \dots

求解步骤

\frac{15 c ^{2} - 8 c}{3} = 4

在两边乘以

3

15 c^{2} - 8 c = 12

将

12

para o lado esquerdo

15 c^{2} - 8 c - 12 = 0

使用求根公式求解

c_{1, 2} = \frac{- ( - 8 ) \pm ( - 8 ) ^{2} - 4 \cdot 15 ( - 12 )}{2 \cdot 15}

(- 8)^{2} - 4 \cdot 15 (- 12) = 28

c_{1, 2} = \frac{- ( - 8 ) \pm 28}{2 \cdot 15}

将解分隔开

c_{1} = \frac{- ( - 8 ) + 28}{2 \cdot 15}, c_{2} = \frac{- ( - 8 ) - 28}{2 \cdot 15}

c = \frac{- ( - 8 ) + 28}{2 \cdot 15} : \frac{6}{5}

c = \frac{- ( - 8 ) - 28}{2 \cdot 15} : - \frac{2}{3}

二次方程组的解是:

c = \frac{6}{5}, c = - \frac{2}{3}

作图

流行的例子

- 3 x^{2} - 6 x + 24 = 0

x^{2} - 7 x + 9 = 4

(x - 3) (x + 4) + 8 = x

2 x \cdot 2 x - 2 x = 12

x^{2} + 80 x + 1200 = 0