Maths question

2006-12-02 7:00 am
Solve each of the following equations using the factor method

(3x-5)^2-(x+1)^2=0

Use the factor methodto solve for x in each of the following equations, Express the
answersin terms of r an s

(a) x^2+(s-r)x-rs=0
(b) rx^2-(rs+1)x+s=0 (r不等於0)

^2(二次)

回答 (1)

2006-12-02 7:14 am
✔ 最佳答案
(3x-5)^2-(x+1)^2=0
(3x - 5 + x + 1)(3x - 5 - x - 1) = 0
(4x - 4)(2x - 6) = 0
(4x - 4) = 0 OR (2x - 6) = 0
x = 1 or 3

(a)
x^2+(s-r)x-rs=0
(x - r)(x + s)=0
x - r = 0 OR x + s = 0
x = r OR -s

(b)
rx^2-(rs+1)x+s=0
(rx - 1)(x - s) = 0
rx - 1 = 0 OR x - s = 0
x = 1/r OR s


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