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受欢迎的代数 >

3x^2-16x-4=0

解答

3 x^{2} - 16 x - 4 = 0

解答

x = \frac{2 ( 4 + 19 )}{3}, x = \frac{2 ( 4 - 19 )}{3}

+1

十进制

x = 5.57259 \dots, x = - 0.23926 \dots

求解步骤

3 x^{2} - 16 x - 4 = 0

使用求根公式求解

x_{1, 2} = \frac{- ( - 16 ) \pm ( - 16 ) ^{2} - 4 \cdot 3 ( - 4 )}{2 \cdot 3}

(- 16)^{2} - 4 \cdot 3 (- 4) = 419

x_{1, 2} = \frac{- ( - 16 ) \pm 4 19}{2 \cdot 3}

将解分隔开

x_{1} = \frac{- ( - 16 ) + 4 19}{2 \cdot 3}, x_{2} = \frac{- ( - 16 ) - 4 19}{2 \cdot 3}

x = \frac{- ( - 16 ) + 4 19}{2 \cdot 3} : \frac{2 ( 4 + 19 )}{3}

x = \frac{- ( - 16 ) - 4 19}{2 \cdot 3} : \frac{2 ( 4 - 19 )}{3}

二次方程组的解是:

x = \frac{2 ( 4 + 19 )}{3}, x = \frac{2 ( 4 - 19 )}{3}

作图

流行的例子

3 x + 5 = 3 (x + 5)

化简 2(-n-3)-7(5+2n)

s im pl i f y 2 (- n - 3) - 7 (5 + 2 n)

t^{2} = 11 t - 18

(5x-27)/(-3)=-6

\frac{5 x - 27}{- 3} = - 6

x^{2} - 41 x + 420 = 0