b-a 2'a$+b&
& =--a
< $ b
i I
1.54. 1) I I o n o m a ~ e n b ~ bsacna ~ e a a b C B I I ~ ~ H HCOOTHOIIIeHEIeM 3a2 - 2b2 = 5ab. HafgaTe 3HaseHEle BbIpBeHHa 2b-a a+3bm 2) O ~ p a a a ~ e n sacna b ~ ~ ea EI b C B S I ~ ~ H HCooTHomeHaeM 5a2 - 2b2 = 3ab. HafAaTe ~ ~ a n e BMpaxceHurr ~ n e
1.47. I I p e g c ~ a ~ bsbIpaxce~ae ~e B sage npoa3sene~nsrgsyx MHOI'OUJIeHOB: 1) x(x 1)(x
+
,
1.49.
+ 2)(x + 3) - 15;
npa n106b1x 3 ~ a q e ~ n s rnxe p e ~ e ~ ~ o i l smpaxce~aen p a ~ u ~ na oen~o x c ~ ~ e n b ~3m~ea s e ~ a s r : 2) x4 + 2x2 - X + 5. 1) x4 + 3x2 - X, + 3;
~ O K ~ X M T¶TO ~ ,
I k
I!
1
2) - -
J;;
I-aJa
+ 1 npm
a
=
0,4.
I
a(l-J;;,
1.51. HaiIga~e~aa6onbmeea ~ a s e ~ BMpaxceausr ae a onpegeJIHTe, npli KaKMX 3HaYeHEIRX X EX Y O H 0 A O C T H ~ ~ ~ T C S I : 1.59. Mexcgy KaKEIMA COCegHEiMEI QeJImMEi snCnaMEl 3aKJIIOq e ~ o3 ~ a q e Bbrpaxcem ~ ~ e
1.53. 1) Y e ~ p y a ~ ~m6onbmee ~ o 3 ~ a s e ~ a e ' n p o a 3 ~ e g e ab, ~k1a ecnalGaG3ab=5-a? 2) HafnaTe ~m6onbmeea ~ a s e ~ anpoa3~ege~usr e ab, ecna a E [I; 21 H a + b = 3.
1.60. HaZign~eHaaMeHbmee s ~ a r e BmpameHma ~ ~ e a yxa%me napm 3 ~ a n e ~ xa fa y, npa KOTOPMX OHO AocTaraeTca: 1)
Jm + -;/,
2) J W + Jq.