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受欢迎的代数 >

3a^2-6a-5=0

解答

3 a^{2} - 6 a - 5 = 0

解答

a = \frac{3 + 2 6}{3}, a = \frac{3 - 2 6}{3}

+1

十进制

a = 2.63299 \dots, a = - 0.63299 \dots

求解步骤

3 a^{2} - 6 a - 5 = 0

使用求根公式求解

a_{1, 2} = \frac{- ( - 6 ) \pm ( - 6 ) ^{2} - 4 \cdot 3 ( - 5 )}{2 \cdot 3}

(- 6)^{2} - 4 \cdot 3 (- 5) = 46

a_{1, 2} = \frac{- ( - 6 ) \pm 4 6}{2 \cdot 3}

将解分隔开

a_{1} = \frac{- ( - 6 ) + 4 6}{2 \cdot 3}, a_{2} = \frac{- ( - 6 ) - 4 6}{2 \cdot 3}

a = \frac{- ( - 6 ) + 4 6}{2 \cdot 3} : \frac{3 + 2 6}{3}

a = \frac{- ( - 6 ) - 4 6}{2 \cdot 3} : \frac{3 - 2 6}{3}

二次方程组的解是:

a = \frac{3 + 2 6}{3}, a = \frac{3 - 2 6}{3}

作图

流行的例子

v^{2} + 4 v - 12 = 0

\frac{x}{2} = (\frac{x}{5})^{2}

solvefor x,y=18-1/8 x^2

so l v e f or x, y = 18 - \frac{1}{8} x^{2}

0 = x^{2} - 11 x + 30

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