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受欢迎的代数 >

7x^9=(7x^{10})-(7x)

解答

7 x^{9} = (7 x^{10}) - (7 x)

解答

x = 0, x \approx 1.21314 \dots

求解步骤

7 x^{9} = (7 x^{10}) - (7 x)

整理后得

7 x^{9} = 7 x^{10} - 7 x

交换两边

7 x^{10} - 7 x = 7 x^{9}

将

7 x^{9}

para o lado esquerdo

7 x^{10} - 7 x - 7 x^{9} = 0

因式分解

7 x^{10} - 7 x - 7 x^{9} : 7 x (x^{9} - x^{8} - 1)

7 x (x^{9} - x^{8} - 1) = 0

使用零因数法则： If

ab = 0

then

a = 0

or

b = 0

x = 0 or x^{9} - x^{8} - 1 = 0

解

x^{9} - x^{8} - 1 = 0 : x \approx 1.21314 \dots

解为

x = 0, x \approx 1.21314 \dots

作图

流行的例子

8 x^{3} = 0

0 = x^{4} - 18 x^{2} + 32

x(x-5)^3-14(x-5)^2=0

x (x - 5)^{3} - 14 (x - 5)^{2} = 0

4x(x-3)^2(2x-5)=0

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

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