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受欢迎的代数 >

3x^2-24x+2=5x^2+1

解答

3 x^{2} - 24 x + 2 = 5 x^{2} + 1

解答

x = - \frac{12 + 146}{2}, x = \frac{146 - 12}{2}

+1

十进制

x = - 12.04152 \dots, x = 0.04152 \dots

求解步骤

3 x^{2} - 24 x + 2 = 5 x^{2} + 1

将

1

para o lado esquerdo

3 x^{2} - 24 x + 1 = 5 x^{2}

将

5 x^{2}

para o lado esquerdo

- 2 x^{2} - 24 x + 1 = 0

使用求根公式求解

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

(- 24)^{2} - 4 (- 2) \cdot 1 = 2146

x_{1, 2} = \frac{- ( - 24 ) \pm 2 146}{2 ( - 2 )}

将解分隔开

x_{1} = \frac{- ( - 24 ) + 2 146}{2 ( - 2 )}, x_{2} = \frac{- ( - 24 ) - 2 146}{2 ( - 2 )}

x = \frac{- ( - 24 ) + 2 146}{2 ( - 2 )} : - \frac{12 + 146}{2}

x = \frac{- ( - 24 ) - 2 146}{2 ( - 2 )} : \frac{146 - 12}{2}

二次方程组的解是:

x = - \frac{12 + 146}{2}, x = \frac{146 - 12}{2}

作图

流行的例子

completesquare 2x^2-8x+3

co m pl e t es q u a re 2 x^{2} - 8 x + 3

x^{2} + 3 = 28

14 - 6 x^{2} = 0

5 - 3 x^{2} = 0

- 3 x^{2} - 2 x + 1 = 0