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受欢迎的代数 >

3x^2=-8x+8

解答

3 x^{2} = - 8 x + 8

解答

x = \frac{2 ( 10 - 2 )}{3}, x = - \frac{2 ( 2 + 10 )}{3}

+1

十进制

x = 0.77485 \dots, x = - 3.44151 \dots

求解步骤

3 x^{2} = - 8 x + 8

将

8

para o lado esquerdo

3 x^{2} - 8 = - 8 x

将

8 x

para o lado esquerdo

3 x^{2} - 8 + 8 x = 0

改写成标准形式

a x^{2} + b x + c = 0

3 x^{2} + 8 x - 8 = 0

使用求根公式求解

x_{1, 2} = \frac{- 8 \pm 8 ^{2} - 4 \cdot 3 ( - 8 )}{2 \cdot 3}

8^{2} - 4 \cdot 3 (- 8) = 410

x_{1, 2} = \frac{- 8 \pm 4 10}{2 \cdot 3}

将解分隔开

x_{1} = \frac{- 8 + 4 10}{2 \cdot 3}, x_{2} = \frac{- 8 - 4 10}{2 \cdot 3}

x = \frac{- 8 + 4 10}{2 \cdot 3} : \frac{2 ( 10 - 2 )}{3}

x = \frac{- 8 - 4 10}{2 \cdot 3} : - \frac{2 ( 2 + 10 )}{3}

二次方程组的解是:

x = \frac{2 ( 10 - 2 )}{3}, x = - \frac{2 ( 2 + 10 )}{3}

作图

流行的例子

9 x^{2} - 5 x = 1

- 8 x^{2} - 4 x + 24 = 0

solvefor t,300=t^2+2t

so l v e f or t, 300 = t^{2} + 2 t

0 = 5 t^{2} + 3 t - 2

n^{2} = n + 20