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受欢迎的代数 >

x(2x-3)-(2x+6)(3-2x)^2=0

解答

x (2 x - 3) - (2 x + 6) (3 - 2 x)^{2} = 0

解答

x = \frac{3}{2}, x = \frac{- 5 + 313}{8}, x = \frac{- 5 - 313}{8}

+1

十进制

x = 1.5, x = 1.58647 \dots, x = - 2.83647 \dots

求解步骤

x (2 x - 3) - (2 x + 6) (3 - 2 x)^{2} = 0

因式分解

x (2 x - 3) - (2 x + 6) (3 - 2 x)^{2} : - (2 x - 3) (4 x^{2} + 5 x - 18)

- (2 x - 3) (4 x^{2} + 5 x - 18) = 0

使用零因数法则： If

ab = 0

then

a = 0

or

b = 0

2 x - 3 = 0 or 4 x^{2} + 5 x - 18 = 0

解

2 x - 3 = 0 : x = \frac{3}{2}

解

4 x^{2} + 5 x - 18 = 0 : x = \frac{- 5 + 313}{8}, x = \frac{- 5 - 313}{8}

解为

x = \frac{3}{2}, x = \frac{- 5 + 313}{8}, x = \frac{- 5 - 313}{8}

作图

流行的例子

solvefor y,x=(y+5)^3

so l v e f or y, x = (y + 5)^{3}

y^{4} = 15 y^{2} - 44

k^{3} = 27

n^{3} - 8 = - 2

x^4+10x^3+35x^2+50x+24=0

x^{4} + 10 x^{3} + 35 x^{2} + 50 x + 24 = 0