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受欢迎的代数 >

3a^2-5a-2=0

解答

3 a^{2} - 5 a - 2 = 0

解答

a = 2, a = - \frac{1}{3}

+1

十进制

a = 2, a = - 0.33333 \dots

求解步骤

3 a^{2} - 5 a - 2 = 0

使用求根公式求解

a_{1, 2} = \frac{- ( - 5 ) \pm ( - 5 ) ^{2} - 4 \cdot 3 ( - 2 )}{2 \cdot 3}

(- 5)^{2} - 4 \cdot 3 (- 2) = 7

a_{1, 2} = \frac{- ( - 5 ) \pm 7}{2 \cdot 3}

将解分隔开

a_{1} = \frac{- ( - 5 ) + 7}{2 \cdot 3}, a_{2} = \frac{- ( - 5 ) - 7}{2 \cdot 3}

a = \frac{- ( - 5 ) + 7}{2 \cdot 3} : 2

a = \frac{- ( - 5 ) - 7}{2 \cdot 3} : - \frac{1}{3}

二次方程组的解是:

a = 2, a = - \frac{1}{3}

作图

流行的例子

x^{2} - 2 x + 5 = 48

3 (x + 8)^{2} = 5

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(x + 8) (x - 4) - 2 (x - 8) (x - 4) = 24 (x - 8)

(6x-7)^2+12(6x-7)+36=0

(6 x - 7)^{2} + 12 (6 x - 7) + 36 = 0

x^{2} + 5 x - 14 = - 8