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受欢迎的代数 >

6x^2+10x=4-10x-6x^2

解答

6 x^{2} + 10 x = 4 - 10 x - 6 x^{2}

解答

x = - \frac{5 + 37}{6}, x = \frac{37 - 5}{6}

+1

十进制

x = - 1.84712 \dots, x = 0.18046 \dots

求解步骤

6 x^{2} + 10 x = 4 - 10 x - 6 x^{2}

交换两边

4 - 10 x - 6 x^{2} = 6 x^{2} + 10 x

将

10 x

para o lado esquerdo

- 6 x^{2} - 20 x + 4 = 6 x^{2}

将

6 x^{2}

para o lado esquerdo

- 12 x^{2} - 20 x + 4 = 0

使用求根公式求解

x_{1, 2} = \frac{- ( - 20 ) \pm ( - 20 ) ^{2} - 4 ( - 12 ) \cdot 4}{2 ( - 12 )}

(- 20)^{2} - 4 (- 12) \cdot 4 = 437

x_{1, 2} = \frac{- ( - 20 ) \pm 4 37}{2 ( - 12 )}

将解分隔开

x_{1} = \frac{- ( - 20 ) + 4 37}{2 ( - 12 )}, x_{2} = \frac{- ( - 20 ) - 4 37}{2 ( - 12 )}

x = \frac{- ( - 20 ) + 4 37}{2 ( - 12 )} : - \frac{5 + 37}{6}

x = \frac{- ( - 20 ) - 4 37}{2 ( - 12 )} : \frac{37 - 5}{6}

二次方程组的解是:

x = - \frac{5 + 37}{6}, x = \frac{37 - 5}{6}

作图

流行的例子

x^{2} - 7 x = 12

x + 1 = (x - 1)^{2}

6 x^{2} + 7 x = 12

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

completesquare x^2-5x+4=0

co m pl e t es q u a re x^{2} - 5 x + 4 = 0