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受欢迎的代数 >

solvefor x,f(a+b)f=x^4

解答

求解

x, f (a + b) f = x^{4}

解答

x = f a + b, x = - f a + b, x = i f a + b, x = - i f a + b

求解步骤

f (a + b) f = x^{4}

交换两边

x^{4} = f (a + b) f

化简

f (a + b) f : f^{2} (a + b)

用

u = x^{2}

和

u^{2} = x^{4}

改写方程式

u^{2} = f^{2} (a + b)

解

u^{2} = f^{2} (a + b) : u = f^{2} (a + b), u = - f^{2} (a + b)

u = f^{2} (a + b), u = - f^{2} (a + b)

代回

u = x^{2}

，求解

x

解

x^{2} = f^{2} (a + b) : x = f a + b, x = - f a + b

解

x^{2} = - f^{2} (a + b) : x = i f a + b, x = - i f a + b

解为

x = f a + b, x = - f a + b, x = i f a + b, x = - i f a + b

作图

流行的例子

2(3x^4)=(2x^3)(2x^4)

2 (3 x^{4}) = (2 x^{3}) (2 x^{4})

x^{23}-2x^{13}-15=0

x^{23} - 2 x^{13} - 15 = 0

x^3-16x^2+16x+6=0

x^{3} - 16 x^{2} + 16 x + 6 = 0

(x^{2} - 1) (x - 2) = 2

8 x^{3} - 12 x = 0