Page 52 - Elementary Algebra Exercise Book I
P. 52
ELEMENTARY ALGEBRA EXERCISE BOOK I equAtions
5
Solution: The equation system has no solution, then 3 = m = , thus m =3n and 4m =5n .
1 n 4
7
7
Additionally since |m| = |3n| < 7, thus − <n< . Since n is an integer, then n = −2, −1, 0, 1, 2,
3 3
then m = −6, −3, 0, 3, 6. Hence, when m = −6,n = −2 or m = −3,n = −1 or m =0,n =0
or m =3,n =1 or m =6,n =2, the original equation system has no solution.
2
2.9 Assume the equation 2x + x + a =0 has the solution set A , and the equation
2
2x + bx +2 = 0 has the solution set B , and A ∩ B = {1/2}, find A ∪ B.
Solution: Let A = {1/2,x 1 },B = {1/2,x 2 } .
Vieta’s formulas lead to x 1 +1/2= −1/2,x 2 /2= 1 ⇒ x 1 = −1,x 2 =2.
Hence, A ∪ B = {1/2, −1}∪{1/2, 2} = {−1, 1/2, 2}.
Challenge the way we run
EXPERIENCE THE POWER OF
FULL ENGAGEMENT…
RUN FASTER.
RUN LONGER.. READ MORE & PRE-ORDER TODAY
RUN EASIER… WWW.GAITEYE.COM
1349906_A6_4+0.indd 1 22-08-2014 12:56:57
Download free eBooks at bookboon.com Click on the ad to read more
Click on the ad to read more
Click on the ad to read more
Click on the ad to read more
Click on the ad to read more
Click on the ad to read more
Click on the ad to read more
Click on the ad to read more
Click on the ad to read more
Click on the ad to read more
Click on the ad to read more
Click on the ad to read more
Click on the ad to read more
Click on the ad to read more
Click on the ad to read more
Click on the ad to read more
52
52
