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受欢迎的代数 >

x+3x(x-2)=5

解答

x + 3 x (x - 2) = 5

解答

x = \frac{5 + 85}{6}, x = \frac{5 - 85}{6}

+1

十进制

x = 2.36992 \dots, x = - 0.70325 \dots

求解步骤

x + 3 x (x - 2) = 5

展开

x + 3 x (x - 2) : 3 x^{2} - 5 x

3 x^{2} - 5 x = 5

将

5

para o lado esquerdo

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

使用求根公式求解

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

(- 5)^{2} - 4 \cdot 3 (- 5) = 85

x_{1, 2} = \frac{- ( - 5 ) \pm 85}{2 \cdot 3}

将解分隔开

x_{1} = \frac{- ( - 5 ) + 85}{2 \cdot 3}, x_{2} = \frac{- ( - 5 ) - 85}{2 \cdot 3}

x = \frac{- ( - 5 ) + 85}{2 \cdot 3} : \frac{5 + 85}{6}

x = \frac{- ( - 5 ) - 85}{2 \cdot 3} : \frac{5 - 85}{6}

二次方程组的解是:

x = \frac{5 + 85}{6}, x = \frac{5 - 85}{6}

作图

流行的例子

4 t^{2} - 24 t = 0

10 k^{2} = 50

-2x^2-42x=-10x+126

- 2 x^{2} - 42 x = - 10 x + 126

(X + 4)^{2} = 9 (X + 3)

solvefor x,12x^2+76x-115=0

so l v e f or x, 12 x^{2} + 76 x - 115 = 0