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受欢迎的代数 >

2(3a^2-1)-6a=5a

解答

2 (3 a^{2} - 1) - 6 a = 5 a

解答

a = 2, a = - \frac{1}{6}

+1

十进制

a = 2, a = - 0.16666 \dots

求解步骤

2 (3 a^{2} - 1) - 6 a = 5 a

展开

2 (3 a^{2} - 1) - 6 a : 6 a^{2} - 2 - 6 a

6 a^{2} - 2 - 6 a = 5 a

将

5 a

para o lado esquerdo

6 a^{2} - 2 - 11 a = 0

改写成标准形式

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

6 a^{2} - 11 a - 2 = 0

使用求根公式求解

a_{1, 2} = \frac{- ( - 11 ) \pm ( - 11 ) ^{2} - 4 \cdot 6 ( - 2 )}{2 \cdot 6}

(- 11)^{2} - 4 \cdot 6 (- 2) = 13

a_{1, 2} = \frac{- ( - 11 ) \pm 13}{2 \cdot 6}

将解分隔开

a_{1} = \frac{- ( - 11 ) + 13}{2 \cdot 6}, a_{2} = \frac{- ( - 11 ) - 13}{2 \cdot 6}

a = \frac{- ( - 11 ) + 13}{2 \cdot 6} : 2

a = \frac{- ( - 11 ) - 13}{2 \cdot 6} : - \frac{1}{6}

二次方程组的解是:

a = 2, a = - \frac{1}{6}

作图

流行的例子

化简 (2+i)^2-(4-i)^2

s im pl i f y (2 + i)^{2} - (4 - i)^{2}

x - 4 \geq 1

(x - 4) (3 x + 2) = 0

4 - \frac{2}{7} w = 18

合并 (3pi)/2+2pi

j o in \frac{3 π}{2} + 2 π