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受欢迎的代数 >

(2n)3n(6)=3n^3(7)

解答

(2 n) 3 n (6) = 3 n^{3} (7)

解答

n = 0, n = \frac{12}{7}

+1

十进制

n = 0, n = 1.71428 \dots

求解步骤

(2 n) \cdot 3 n (6) = 3 n^{3} (7)

将

3 n^{3} (7)

para o lado esquerdo

2 n \cdot 3 n \cdot 6 - 3 n^{3} \cdot 7 = 0

因式分解

2 n \cdot 3 n \cdot 6 - 3 n^{3} \cdot 7 : 3 n^{2} (12 - 7 n)

3 n^{2} (12 - 7 n) = 0

使用零因数法则： If

ab = 0

then

a = 0

or

b = 0

n = 0 or 12 - 7 n = 0

解

12 - 7 n = 0 : n = \frac{12}{7}

解为

n = 0, n = \frac{12}{7}

作图

流行的例子

x^{3} - x - 10 = 0

x^3-2x^2-5x-10=0

x^{3} - 2 x^{2} - 5 x - 10 = 0

solvefor x,x^5+5r^2-1=0

so l v e f or x, x^{5} + 5 r^{2} - 1 = 0

(3x^3-2x^2-7x)=2

(3 x^{3} - 2 x^{2} - 7 x) = 2

x^3-x^2-8x+12=0

x^{3} - x^{2} - 8 x + 12 = 0