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受欢迎的代数 >

6x^2-2=7x

解答

6 x^{2} - 2 = 7 x

解答

x = \frac{7 + 97}{12}, x = \frac{7 - 97}{12}

+1

十进制

x = 1.40407 \dots, x = - 0.23740 \dots

求解步骤

6 x^{2} - 2 = 7 x

将

7 x

para o lado esquerdo

6 x^{2} - 2 - 7 x = 0

改写成标准形式

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

6 x^{2} - 7 x - 2 = 0

使用求根公式求解

x_{1, 2} = \frac{- ( - 7 ) \pm ( - 7 ) ^{2} - 4 \cdot 6 ( - 2 )}{2 \cdot 6}

(- 7)^{2} - 4 \cdot 6 (- 2) = 97

x_{1, 2} = \frac{- ( - 7 ) \pm 97}{2 \cdot 6}

将解分隔开

x_{1} = \frac{- ( - 7 ) + 97}{2 \cdot 6}, x_{2} = \frac{- ( - 7 ) - 97}{2 \cdot 6}

x = \frac{- ( - 7 ) + 97}{2 \cdot 6} : \frac{7 + 97}{12}

x = \frac{- ( - 7 ) - 97}{2 \cdot 6} : \frac{7 - 97}{12}

二次方程组的解是:

x = \frac{7 + 97}{12}, x = \frac{7 - 97}{12}

作图

流行的例子

2x^2-16x+16=-10+16

2 x^{2} - 16 x + 16 = - 10 + 16

m^{2} - 12 m = 0

y^{1} = y^{2}

因式分解 12x^2-24x=0

f a c t or 12 x^{2} - 24 x = 0

3 x^{2} - 20 x + 28 = 0