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受欢迎的代数 >

9x^2=-24x+16

解答

9 x^{2} = - 24 x + 16

解答

x = \frac{4 ( 2 - 1 )}{3}, x = - \frac{4 ( 1 + 2 )}{3}

+1

十进制

x = 0.55228 \dots, x = - 3.21895 \dots

求解步骤

9 x^{2} = - 24 x + 16

将

16

para o lado esquerdo

9 x^{2} - 16 = - 24 x

将

24 x

para o lado esquerdo

9 x^{2} - 16 + 24 x = 0

改写成标准形式

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

9 x^{2} + 24 x - 16 = 0

使用求根公式求解

x_{1, 2} = \frac{- 24 \pm 2 4 ^{2} - 4 \cdot 9 ( - 16 )}{2 \cdot 9}

2 4^{2} - 4 \cdot 9 (- 16) = 242

x_{1, 2} = \frac{- 24 \pm 24 2}{2 \cdot 9}

将解分隔开

x_{1} = \frac{- 24 + 24 2}{2 \cdot 9}, x_{2} = \frac{- 24 - 24 2}{2 \cdot 9}

x = \frac{- 24 + 24 2}{2 \cdot 9} : \frac{4 ( 2 - 1 )}{3}

x = \frac{- 24 - 24 2}{2 \cdot 9} : - \frac{4 ( 1 + 2 )}{3}

二次方程组的解是:

x = \frac{4 ( 2 - 1 )}{3}, x = - \frac{4 ( 1 + 2 )}{3}

作图

流行的例子

3 x^{2} = 18 x

t^{2} - 8 t - 4 = 0

completesquare x^2-6x-81

co m pl e t es q u a re x^{2} - 6 x - 81

x^{2} + 16 x + 2 = 0

9 x^{2} - 6 x + 1 = 2