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受欢迎的代数 >

(8x^7)+(8x^4)=8x(x)

解答

(8 x^{7}) + (8 x^{4}) = 8 x (x)

解答

x = 0, x \approx 0.80873 \dots

求解步骤

(8 x^{7}) + (8 x^{4}) = 8 x (x)

展开

8 x (x) : 8 x^{2}

8 x^{7} + 8 x^{4} = 8 x^{2}

将

8 x^{2}

para o lado esquerdo

8 x^{7} + 8 x^{4} - 8 x^{2} = 0

因式分解

8 x^{7} + 8 x^{4} - 8 x^{2} : 8 x^{2} (x^{5} + x^{2} - 1)

8 x^{2} (x^{5} + x^{2} - 1) = 0

使用零因数法则： If

ab = 0

then

a = 0

or

b = 0

x = 0 or x^{5} + x^{2} - 1 = 0

解

x^{5} + x^{2} - 1 = 0 : x \approx 0.80873 \dots

解为

x = 0, x \approx 0.80873 \dots

作图

流行的例子

x^4+ix=ix-i+sqrt(3)

x^{4} + i x = i x - i + 3

x^4+6*x^2-60x+36=0

x^{4} + 6 \cdot x^{2} - 60 x + 36 = 0

x^{4} - 6 x^{2} = 27

x (x - 3) (2 x - 1) = 0

j(x)=3x^3,[1,1+h(x)]

j (x) = 3 x^{3}, [1, 1 + h (x)]