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受欢迎的代数 >

(3x-2)(x^1)-(2x^3)(2-x)=182x

解答

(3 x - 2) (x^{1}) - (2 x^{3}) (2 - x) = 182 x

解答

x = 0, x \approx 5.16202 \dots

求解步骤

(3 x - 2) (x^{1}) - (2 x^{3}) (2 - x) = 182 x

展开

(3 x - 2) (x^{1}) - (2 x^{3}) (2 - x) : 3 x^{2} - 2 x - 4 x^{3} + 2 x^{4}

3 x^{2} - 2 x - 4 x^{3} + 2 x^{4} = 182 x

将

182 x

para o lado esquerdo

2 x^{4} - 4 x^{3} + 3 x^{2} - 184 x = 0

因式分解

2 x^{4} - 4 x^{3} + 3 x^{2} - 184 x : x (2 x^{3} - 4 x^{2} + 3 x - 184)

x (2 x^{3} - 4 x^{2} + 3 x - 184) = 0

使用零因数法则： If

ab = 0

then

a = 0

or

b = 0

x = 0 or 2 x^{3} - 4 x^{2} + 3 x - 184 = 0

解

2 x^{3} - 4 x^{2} + 3 x - 184 = 0 : x \approx 5.16202 \dots

解为

x = 0, x \approx 5.16202 \dots

作图

流行的例子

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(x^{2} - 3 x)^{2} - 16 (x^{2} - 3 x) - 36 = 0

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