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受欢迎的代数 >

9x(2x+1)^3=4x(2x+1)

解答

9 x (2 x + 1)^{3} = 4 x (2 x + 1)

解答

x = 0, x = - \frac{1}{2}, x = - \frac{1}{6}, x = - \frac{5}{6}

+1

十进制

x = 0, x = - 0.5, x = - 0.16666 \dots, x = - 0.83333 \dots

求解步骤

9 x (2 x + 1)^{3} = 4 x (2 x + 1)

将

4 x (2 x + 1)

para o lado esquerdo

9 x (2 x + 1)^{3} - 4 x (2 x + 1) = 0

因式分解

9 x (2 x + 1)^{3} - 4 x (2 x + 1) : x (2 x + 1) (6 x + 1) (6 x + 5)

x (2 x + 1) (6 x + 1) (6 x + 5) = 0

使用零因数法则： If

ab = 0

then

a = 0

or

b = 0

x = 0 or 2 x + 1 = 0 or 6 x + 1 = 0 or 6 x + 5 = 0

解

2 x + 1 = 0 : x = - \frac{1}{2}

解

6 x + 1 = 0 : x = - \frac{1}{6}

解

6 x + 5 = 0 : x = - \frac{5}{6}

解为

x = 0, x = - \frac{1}{2}, x = - \frac{1}{6}, x = - \frac{5}{6}

作图

流行的例子

(4x-1)(5x^3-8.64)=0

(4 x - 1) (5 x^{3} - 8.64) = 0

s^{5} + s^{2} + s = 0

solvefor x,2x^4+3=y^2

so l v e f or x, 2 x^{4} + 3 = y^{2}

4x^3-52x^2+160x-100=0

4 x^{3} - 52 x^{2} + 160 x - 100 = 0

n^3+12n^2+48n+64=0

n^{3} + 12 n^{2} + 48 n + 64 = 0