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受欢迎的代数 >

16y^4+15y^2-1=0

解答

16 y^{4} + 15 y^{2} - 1 = 0

解答

y = \frac{1}{4}, y = - \frac{1}{4}, y = i, y = - i

求解步骤

16 y^{4} + 15 y^{2} - 1 = 0

用

u = y^{2}

和

u^{2} = y^{4}

改写方程式

16 u^{2} + 15 u - 1 = 0

解

16 u^{2} + 15 u - 1 = 0 : u = \frac{1}{16}, u = - 1

u = \frac{1}{16}, u = - 1

代回

u = y^{2}

，求解

y

解

y^{2} = \frac{1}{16} : y = \frac{1}{4}, y = - \frac{1}{4}

解

y^{2} = - 1 : y = i, y = - i

解为

y = \frac{1}{4}, y = - \frac{1}{4}, y = i, y = - i

作图

流行的例子

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

solvefor f,f^4(x)=(1/5)x-x^4+x^2-1

so l v e f or f, f^{4} (x) = (\frac{1}{5}) x - x^{4} + x^{2} - 1

d^4-6d^3+13d^2-12d+4=0

d^{4} - 6 d^{3} + 13 d^{2} - 12 d + 4 = 0

780n^2+26n^3=2999134

780 n^{2} + 26 n^{3} = 2999134

x^{3} - 3 x^{2} - 41 x = 0