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受欢迎的代数 >

6h^5=12h^3

解答

6 h^{5} = 12 h^{3}

解答

h = 0, h = - 2, h = 2

+1

十进制

h = 0, h = - 1.41421 \dots, h = 1.41421 \dots

求解步骤

6 h^{5} = 12 h^{3}

将

12 h^{3}

para o lado esquerdo

6 h^{5} - 12 h^{3} = 0

因式分解

6 h^{5} - 12 h^{3} : 6 h^{3} (h + 2) (h - 2)

6 h^{3} (h + 2) (h - 2) = 0

使用零因数法则： If

ab = 0

then

a = 0

or

b = 0

h = 0 or h + 2 = 0 or h - 2 = 0

解

h + 2 = 0 : h = - 2

解

h - 2 = 0 : h = 2

解为

h = 0, h = - 2, h = 2

作图

流行的例子

2x^3-9x^2+12x=0

2 x^{3} - 9 x^{2} + 12 x = 0

x^3+15x^2+71x+105=0

x^{3} + 15 x^{2} + 71 x + 105 = 0

x^{3} + x + 8 = 0

x^4+30x^2-400=198x^2

x^{4} + 30 x^{2} - 400 = 198 x^{2}

(1 + \frac{x}{4})^{4} - 1 = 0