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受欢迎的代数 >

2x=(4x-15)^2

解答

2 x = (4 x - 15)^{2}

解答

x = \frac{9}{2}, x = \frac{25}{8}

+1

十进制

x = 4.5, x = 3.125

求解步骤

2 x = (4 x - 15)^{2}

展开

(4 x - 15)^{2} : 16 x^{2} - 120 x + 225

2 x = 16 x^{2} - 120 x + 225

交换两边

16 x^{2} - 120 x + 225 = 2 x

将

2 x

para o lado esquerdo

16 x^{2} - 122 x + 225 = 0

使用求根公式求解

x_{1, 2} = \frac{- ( - 122 ) \pm ( - 122 ) ^{2} - 4 \cdot 16 \cdot 225}{2 \cdot 16}

(- 122)^{2} - 4 \cdot 16 \cdot 225 = 22

x_{1, 2} = \frac{- ( - 122 ) \pm 22}{2 \cdot 16}

将解分隔开

x_{1} = \frac{- ( - 122 ) + 22}{2 \cdot 16}, x_{2} = \frac{- ( - 122 ) - 22}{2 \cdot 16}

x = \frac{- ( - 122 ) + 22}{2 \cdot 16} : \frac{9}{2}

x = \frac{- ( - 122 ) - 22}{2 \cdot 16} : \frac{25}{8}

二次方程组的解是:

x = \frac{9}{2}, x = \frac{25}{8}

作图

流行的例子

x^2+(x+5)2+83=1200

x^{2} + (x + 5) 2 + 83 = 1200

4 x^{2} + 24 = 28

(x + 5)^{2} + 10 = 2

solvefor x,y=-10.12x^2+12.3945x-0.266

so l v e f or x, y = - 10.12 x^{2} + 12.3945 x - 0.266

(v + 10)^{2} = 121