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受欢迎的代数 >

2(6x+2)=25(x-6)^2

解答

2 (6 x + 2) = 25 (x - 6)^{2}

解答

x = 8, x = \frac{112}{25}

+1

十进制

x = 8, x = 4.48

求解步骤

2 (6 x + 2) = 25 (x - 6)^{2}

展开

2 (6 x + 2) : 12 x + 4

展开

25 (x - 6)^{2} : 25 x^{2} - 300 x + 900

12 x + 4 = 25 x^{2} - 300 x + 900

交换两边

25 x^{2} - 300 x + 900 = 12 x + 4

将

4

para o lado esquerdo

25 x^{2} - 300 x + 896 = 12 x

将

12 x

para o lado esquerdo

25 x^{2} - 312 x + 896 = 0

使用求根公式求解

x_{1, 2} = \frac{- ( - 312 ) \pm ( - 312 ) ^{2} - 4 \cdot 25 \cdot 896}{2 \cdot 25}

(- 312)^{2} - 4 \cdot 25 \cdot 896 = 88

x_{1, 2} = \frac{- ( - 312 ) \pm 88}{2 \cdot 25}

将解分隔开

x_{1} = \frac{- ( - 312 ) + 88}{2 \cdot 25}, x_{2} = \frac{- ( - 312 ) - 88}{2 \cdot 25}

x = \frac{- ( - 312 ) + 88}{2 \cdot 25} : 8

x = \frac{- ( - 312 ) - 88}{2 \cdot 25} : \frac{112}{25}

二次方程组的解是:

x = 8, x = \frac{112}{25}

作图

流行的例子

w^{2} - 6 w + 8 = 0

40=50+2t-0.0625t^2

40 = 50 + 2 t - 0.0625 t^{2}

4 x + 8 x^{2} + 2 = - 3 x

solvefor x,3x^2+4xy+y^2=6

so l v e f or x, 3 x^{2} + 4 x y + y^{2} = 6

因式分解 x^2-3x=28

f a c t or x^{2} - 3 x = 28