F4 Quadratic equations

2011-10-02 12:40 am
Q1. The difference of two positive integers is 5 . Two times the aquare of the smaller one exceeds the square of the larger one by 71. Find the two integers.

Q.2 The true bearing and compass bearing of a ship from a lighthouse are x(x=2)度 and S(3x+2)度W respectively. Find the value of x.

回答 (1)

2011-10-02 4:58 am
✔ 最佳答案
let the two integers be x and x+5

2x^2 -71=(x+5)^2
x^2-10x-96=0
x=16 or -6(rejected)
The two integers are 16 and 21


x(x+2)=180+3x+2
x^2-x-182=0
x= -13 or 14


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