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受欢迎的代数 >

solvefor x,p(x+1)=x^2+p

解答

求解

x, p (x + 1) = x^{2} + p

解答

x = p, x = 0

求解步骤

p (x + 1) = x^{2} + p

展开

p (x + 1) : x p + p

x p + p = x^{2} + p

交换两边

x^{2} + p = x p + p

将

p

para o lado esquerdo

x^{2} = x p

将

x p

para o lado esquerdo

x^{2} - x p = 0

改写成标准形式

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

x^{2} - p x = 0

使用求根公式求解

x_{1, 2} = \frac{- ( - p ) \pm ( - p ) ^{2} - 4 \cdot 1 \cdot 0}{2 \cdot 1}

化简

(- p)^{2} - 4 \cdot 1 \cdot 0 : p

x_{1, 2} = \frac{- ( - p ) \pm p}{2 \cdot 1}

将解分隔开

x_{1} = \frac{- ( - p ) + p}{2 \cdot 1}, x_{2} = \frac{- ( - p ) - p}{2 \cdot 1}

x = \frac{- ( - p ) + p}{2 \cdot 1} : p

x = \frac{- ( - p ) - p}{2 \cdot 1} : 0

二次方程组的解是:

x = p, x = 0

作图

流行的例子

solvefor a,u=50a-0.5a^2+60m-0.25m^2

so l v e f or a, u = 50 a - 0.5 a^{2} + 60 m - 0.25 m^{2}

(a-b)*x^2+(b+c-a)x-c=0

(a - b) \cdot x^{2} + (b + c - a) x - c = 0

(3/5 x-2/3)^2= 5/6

(\frac{3}{5} x - \frac{2}{3})^{2} = \frac{5}{6}

solvefor u,1+d^2u^2=(1+(d^2)/2)^2

so l v e f or u, 1 + d^{2} u^{2} = (1 + \frac{d ^{2}}{2})^{2}

solvefor x,(6x+3y+2z)^2=49

so l v e f or x, (6 x + 3 y + 2 z)^{2} = 49