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受欢迎的代数 >

y^5-12y^4+24y^3=0

解答

y^{5} - 12 y^{4} + 24 y^{3} = 0

解答

y = 0, y = 2 (3 + 3), y = 2 (3 - 3)

+1

十进制

y = 0, y = 9.46410 \dots, y = 2.53589 \dots

求解步骤

y^{5} - 12 y^{4} + 24 y^{3} = 0

因式分解

y^{5} - 12 y^{4} + 24 y^{3} : y^{3} (y^{2} - 12 y + 24)

y^{3} (y^{2} - 12 y + 24) = 0

使用零因数法则： If

ab = 0

then

a = 0

or

b = 0

y = 0 or y^{2} - 12 y + 24 = 0

解

y^{2} - 12 y + 24 = 0 : y = 2 (3 + 3), y = 2 (3 - 3)

解为

y = 0, y = 2 (3 + 3), y = 2 (3 - 3)

作图

流行的例子

solvefor x,x^3+2x^2+x=0

so l v e f or x, x^{3} + 2 x^{2} + x = 0

s^{3} = 27

17c^1+5c^2+255c^3=53

17 c^{1} + 5 c^{2} + 255 c^{3} = 53

(2x+2)(3x-6)(4x+12)=0

(2 x + 2) (3 x - 6) (4 x + 12) = 0

(x^2+2)(x^2-12)=72

(x^{2} + 2) (x^{2} - 12) = 72