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受欢迎的代数 >

因式分解 4x^3-8x^2-25x+50=0

解答

因式分解

4 x^{3} - 8 x^{2} - 25 x + 50 = 0

解答

x = 2, x = - \frac{5}{2}, x = \frac{5}{2}

+1

十进制

x = 2, x = - 2.5, x = 2.5

求解步骤

4 x^{3} - 8 x^{2} - 25 x + 50 = 0

因式分解

4 x^{3} - 8 x^{2} - 25 x + 50 : (x - 2) (2 x + 5) (2 x - 5)

(x - 2) (2 x + 5) (2 x - 5) = 0

使用零因数法则： If

ab = 0

then

a = 0

or

b = 0

x - 2 = 0 or 2 x + 5 = 0 or 2 x - 5 = 0

解

x - 2 = 0 : x = 2

解

2 x + 5 = 0 : x = - \frac{5}{2}

解

2 x - 5 = 0 : x = \frac{5}{2}

解为

x = 2, x = - \frac{5}{2}, x = \frac{5}{2}

作图

流行的例子

solvefor y,9x^5+6y^3=5x+10x^6

so l v e f or y, 9 x^{5} + 6 y^{3} = 5 x + 10 x^{6}

x^4+6x^3-5x^2-24x+4=0

x^{4} + 6 x^{3} - 5 x^{2} - 24 x + 4 = 0

x^4+6x^3+8x^2-6x-9=0

x^{4} + 6 x^{3} + 8 x^{2} - 6 x - 9 = 0

x^4-9x^3+27x^2-27x=0

x^{4} - 9 x^{3} + 27 x^{2} - 27 x = 0

x^3+3x^2-18x-40=0

x^{3} + 3 x^{2} - 18 x - 40 = 0