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受欢迎的代数 >

(x+a)(x+b)=x^2+5x+6

解答

(x + a) (x + b) = x^{2} + 5 x + 6

解答

x = \frac{6 - ab}{a + b - 5}; a \neq = - b + 5

求解步骤

(x + a) (x + b) = x^{2} + 5 x + 6

展开

(x + a) (x + b) : x^{2} + b x + a x + ab

x^{2} + b x + a x + ab = x^{2} + 5 x + 6

将

ab

到右边

x^{2} + b x + a x = x^{2} + 5 x + 6 - ab

两边减去

x^{2} + 5 x

x^{2} + b x + a x - (x^{2} + 5 x) = x^{2} + 5 x + 6 - ab - (x^{2} + 5 x)

化简

a x + b x - 5 x = 6 - ab

分解

a x + b x - 5 x : x (a + b - 5)

x (a + b - 5) = 6 - ab

两边除以

a + b - 5; a \neq = - b + 5

x = \frac{6 - ab}{a + b - 5}; a \neq = - b + 5

作图

流行的例子

20 x = - 40

- 3 - 0.1 k = 0.4 k

(x+a)(x+b)=x^2+(a+b)x+ab

(x + a) (x + b) = x^{2} + (a + b) x + ab

solvefor t,t(x)=3x

so l v e f or t, t (x) = 3 x

solvefor x,y+4x+3=0

so l v e f or x, y + 4 x + 3 = 0