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受欢迎的代数 >

solvefor x,x^2+x-p(p+1)=0

解答

求解

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

解答

x = p, x = - p - 1

求解步骤

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

展开

x^{2} + x - p (p + 1) : x^{2} + x - p^{2} - p

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

因式分解

x^{2} + x - p^{2} - p : (x - p) (x + p + 1)

(x - p) (x + p + 1) = 0

使用零因数法则： If

ab = 0

then

a = 0

or

b = 0

x - p = 0 or x + p + 1 = 0

解

x - p = 0 : x = p

解

x + p + 1 = 0 : x = - p - 1

二次方程组的解是:

x = p, x = - p - 1

作图

流行的例子

solvefor x,z=xy+f(x^2+y^2)

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

solvefor h,r^2=h^2+(p^2)/(q^2)

so l v e f or h, r^{2} = h^{2} + \frac{p ^{2}}{q ^{2}}

solvefor x,f=(m-3)x^2+(4m-8)+3

so l v e f or x, f = (m - 3) x^{2} + (4 m - 8) + 3

5x^2+13x+30=0,x^2+13x

5 x^{2} + 13 x + 30 = 0, x^{2} + 13 x

solvefor x,x^2+2xy+y^2+3x+3y=0

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