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受欢迎的代数 >

2x^3-14x^2+2x-14=0

解答

2 x^{3} - 14 x^{2} + 2 x - 14 = 0

解答

x = 7, x = i, x = - i

求解步骤

2 x^{3} - 14 x^{2} + 2 x - 14 = 0

因式分解

2 x^{3} - 14 x^{2} + 2 x - 14 : 2 (x - 7) (x^{2} + 1)

2 (x - 7) (x^{2} + 1) = 0

使用零因数法则： If

ab = 0

then

a = 0

or

b = 0

x - 7 = 0 or x^{2} + 1 = 0

解

x - 7 = 0 : x = 7

解

x^{2} + 1 = 0 : x = i, x = - i

解为

x = 7, x = i, x = - i

作图

流行的例子

24x^3+46x^2+9x-9=0

24 x^{3} + 46 x^{2} + 9 x - 9 = 0

r^4+6r^3+17r^2+22r+14=0

r^{4} + 6 r^{3} + 17 r^{2} + 22 r + 14 = 0

rationalrootstest x^3-x^2-37x-35

r a t i o na l roo t s t es t x^{3} - x^{2} - 37 x - 35

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2x^3-11x^2+3x+36=0

2 x^{3} - 11 x^{2} + 3 x + 36 = 0