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受欢迎的代数 >

c= 1/((sqrt(x^2+x-2)))

解答

c = \frac{1}{( x ^{2} + x - 2 )}

解答

x = \frac{- c + 9 c ^{2} + 4}{2 c}, x = - \frac{c + 9 c ^{2} + 4}{2 c}

求解步骤

c = \frac{1}{( x ^{2} + x - 2 )}

在两边乘以

x^{2} + x - 2

c x^{2} + x - 2 = \frac{1}{x ^{2} + x - 2} x^{2} + x - 2

化简

c x^{2} + x - 2 = 1

两边除以

c

x^{2} + x - 2 = \frac{1}{c}

两边进行平方:

x^{2} + x - 2 = \frac{1}{c ^{2}}

x^{2} + x - 2 = \frac{1}{c ^{2}}

解

x^{2} + x - 2 = \frac{1}{c ^{2}} : x = \frac{- c + 9 c ^{2} + 4}{2 c}, x = - \frac{c + 9 c ^{2} + 4}{2 c}

x = \frac{- c + 9 c ^{2} + 4}{2 c}, x = - \frac{c + 9 c ^{2} + 4}{2 c}

验证解:

x = \frac{- c + 9 c ^{2} + 4}{2 c}

真

, x = - \frac{c + 9 c ^{2} + 4}{2 c}

真

解为

x = \frac{- c + 9 c ^{2} + 4}{2 c}, x = - \frac{c + 9 c ^{2} + 4}{2 c}

作图

流行的例子

2x^2+2sqrt(5x)-5=0

2 x^{2} + 2 5 x - 5 = 0

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

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

sqrt(x+1)+sqrt(2x+3)=5

x + 1 + 2 x + 3 = 5

2 x - 3 = - 1

solvefor x,(a)f=sqrt(-6-3x)

so l v e f or x, (a) f = - 6 - 3 x