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受欢迎的代数 >

bx^2-b=x-b^2x

解答

b x^{2} - b = x - b^{2} x

解答

x = \frac{1}{b}, x = - b; b \neq = 0

求解步骤

b x^{2} - b = x - b^{2} x

将

b^{2} x

para o lado esquerdo

b x^{2} - b + b^{2} x = x

将

x

para o lado esquerdo

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

改写成标准形式

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

b x^{2} + (b^{2} - 1) x - b = 0

使用求根公式求解

x_{1, 2} = \frac{- ( b ^{2} - 1 ) \pm ( b ^{2} - 1 ) ^{2} - 4 b ( - b )}{2 b}

化简

(b^{2} - 1)^{2} - 4 b (- b) : b^{2} + 1

x_{1, 2} = \frac{- ( b ^{2} - 1 ) \pm ( b ^{2} + 1 )}{2 b}; b \neq = 0

将解分隔开

x_{1} = \frac{- ( b ^{2} - 1 ) + b ^{2} + 1}{2 b}, x_{2} = \frac{- ( b ^{2} - 1 ) - ( b ^{2} + 1 )}{2 b}

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

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

二次方程组的解是:

x = \frac{1}{b}, x = - b; b \neq = 0

作图

流行的例子

3 (x^{2} - 7) - 4 = - 7

x^{2} - 31 = 2 x

solvefor x,3x^2+30x-5=0

so l v e f or x, 3 x^{2} + 30 x - 5 = 0

5 r^{2} + 24 r - 3 = 2

solvefor m,x^2+m(x)^2x(m(x)-2)=2m(x)^5

so l v e f or m, x^{2} + m (x)^{2} x (m (x) - 2) = 2 m (x)^{5}