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受欢迎的代数 >

solvefor x,f=sgn(x^2-x-6)

解答

求解

x, f = s g n (x^{2} - x - 6)

解答

x = \frac{n s g + 25 n ^{2} s ^{2} g ^{2} + 4 n s f g}{2 n s g}, x = \frac{n s g - 25 n ^{2} s ^{2} g ^{2} + 4 n s f g}{2 n s g}; n \neq = 0

求解步骤

f = s g n (x^{2} - x - 6)

展开

s g n (x^{2} - x - 6) : n x^{2} s g - n x s g - 6 n s g

f = n x^{2} s g - n x s g - 6 n s g

交换两边

n x^{2} s g - n x s g - 6 n s g = f

将

f

para o lado esquerdo

n x^{2} s g - n x s g - 6 n s g - f = 0

改写成标准形式

a x^{2} + b x + c = 0

n s g x^{2} - n s gx - 6 n s g - f = 0

使用求根公式求解

x_{1, 2} = \frac{- ( - n s g ) \pm ( - n s g ) ^{2} - 4 n s g ( - 6 n s g - f )}{2 n s g}

化简

(- n s g)^{2} - 4 n s g (- 6 n s g - f) : 25 n^{2} s^{2} g^{2} + 4 n s f g

x_{1, 2} = \frac{- ( - n s g ) \pm 25 n ^{2} s ^{2} g ^{2} + 4 n s f g}{2 n s g}; n \neq = 0

将解分隔开

x_{1} = \frac{- ( - n s g ) + 25 n ^{2} s ^{2} g ^{2} + 4 n s f g}{2 n s g}, x_{2} = \frac{- ( - n s g ) - 25 n ^{2} s ^{2} g ^{2} + 4 n s f g}{2 n s g}

x = \frac{- ( - n s g ) + 25 n ^{2} s ^{2} g ^{2} + 4 n s f g}{2 n s g} : \frac{n s g + 25 n ^{2} s ^{2} g ^{2} + 4 n s f g}{2 n s g}

x = \frac{- ( - n s g ) - 25 n ^{2} s ^{2} g ^{2} + 4 n s f g}{2 n s g} : \frac{n s g - 25 n ^{2} s ^{2} g ^{2} + 4 n s f g}{2 n s g}

二次方程组的解是:

x = \frac{n s g + 25 n ^{2} s ^{2} g ^{2} + 4 n s f g}{2 n s g}, x = \frac{n s g - 25 n ^{2} s ^{2} g ^{2} + 4 n s f g}{2 n s g}; n \neq = 0

作图

流行的例子

solvefor x,yx^2-4y-x^2=0

so l v e f or x, y x^{2} - 4 y - x^{2} = 0

x+x^2-25=+15x+47

x + x^{2} - 25 = + 15 x + 47

completesquare x^2-14x-4=0

co m pl e t es q u a re x^{2} - 14 x - 4 = 0

0. 5^{2} + x^{2} = 1

((2y-3)/3)^2+y^2=1

(\frac{2 y - 3}{3})^{2} + y^{2} = 1