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受欢迎的代数 >

36k^3+48k^2-84k-112=0

解答

36 k^{3} + 48 k^{2} - 84 k - 112 = 0

解答

k = - \frac{4}{3}, k = - \frac{7}{3}, k = \frac{7}{3}

+1

十进制

k = - 1.33333 \dots, k = - 1.52752 \dots, k = 1.52752 \dots

求解步骤

36 k^{3} + 48 k^{2} - 84 k - 112 = 0

因式分解

36 k^{3} + 48 k^{2} - 84 k - 112 : 4 (3 k + 4) (3 k + 7) (3 k - 7)

4 (3 k + 4) (3 k + 7) (3 k - 7) = 0

使用零因数法则： If

ab = 0

then

a = 0

or

b = 0

3 k + 4 = 0 or 3 k + 7 = 0 or 3 k - 7 = 0

解

3 k + 4 = 0 : k = - \frac{4}{3}

解

3 k + 7 = 0 : k = - \frac{7}{3}

解

3 k - 7 = 0 : k = \frac{7}{3}

解为

k = - \frac{4}{3}, k = - \frac{7}{3}, k = \frac{7}{3}

作图

流行的例子

r^3+12r^2-60r+64=0

r^{3} + 12 r^{2} - 60 r + 64 = 0

y^4-7y^2+6y^1=0

y^{4} - 7 y^{2} + 6 y^{1} = 0

9x^3-63x^2-16x+112=0

9 x^{3} - 63 x^{2} - 16 x + 112 = 0

y^{4} - 6 y^{2} + 8 = 0

20000=5000(1+x/2)^{20}

20000 = 5000 (1 + \frac{x}{2})^{20}