582193, to find x and y. Ans. x 81, or 16; and y=16, or 81. 308. Given x+y2+xy.(x+y)=68; and x3+y3-3x2=13+3y2 to find x and y. Ans. x 4, or 2; and y=2, or 4. 309. Given xy.(x+y)=84; and x2y2. (x2 + y2) = 3600, to find Ans. x 4, or 3; and y=3, or 4. x and y. 310. Given x2_xy+y2 =9, to find z and y. Ans. x 6, and y-3. 311. Given z+4x=140, to find the values of x. 6x+8-80, to find x. Ans. x=10, or -14, and x-12, or —6. 312. Given 317. Given + 5 -19=151, to find x. 3+34=2+8, to find 2. .4. Ans. 2=15, or -14. Ans. 29, or 7. 3 222 318. Given Ans. 26, or ac 361. Given (a+b).22 = cx+a+b 362. Given 3(112-8x)=19+√(3x+7). Given (2x+7)+(3x-18)=√(7x+1). 3x x 7 d or G b a a2±√(a2 +b2) 3a2b2 C±√(c2+4ac) 2.(a+b) 2-6, or 7398 2-9, or-18. 364. Given 7.√(32—5) —√( +45)=√(10x + 56). 16-4/88+33No 625 365. Given to find x. 54-9/x23x-46/x 366. Given to find x. (x+2√x) · (6+Nox) x=5, or 32. 367. Given x+√x: x−√x::3√x+6 : 2√x. x=9, or 4. 370. Given x+(x+6)=2+3^/(x+6). x=10, or -2. 371. Given (x+5)-4x2-160. Ans. x-9, or -2, or (7/173). 373. Given 9x-4x2+^/(4x2-9x+11)=5, to find x. 374. Given Ans. x2, or, or {9±(-31)}. x2+√(5x+x2)=42—5x, to find x. Ans. x=4, or -9, or }(—5±√/221.) 2 √(x+2) 375. Given 3+ (x+2) 17 2 4√(x+2)° 376. Given√(x+4) x=6, or -. Ans. 12, or 3, or (493185). 3x+5 3x-5 135 377. Given 378. Given x+√x+2= 6 351 x2 4 25x2 390. Given (z+)+ x=9, or -. x=4, or'1. 13, or it. x=4, or 2, or (~7±√/17). 3 = ;x=15, or ±No17. x-4 (1+3)-—(3x2+x)=70, to find z. 385. Given 3{(x-1)2—x}2+2x=341+2(x-1)2, to find x. 3√3±√(109) 2/3 Ans. 13, or {—13±√(—155)}. 387. Given 4x+4x-4x3-33, to find x. Ans. x=2, or -§; or {{1±√(−43)}. 388. Given (x-2)2-6x.(x-2)-24-14x+15x, to find x. Ans. x=16, or 1; or 1{±3√(—11)—1}. 389. Given (4x+1)+4x2. (4x+1)= 1912 (10x+3x), to Ans. x-9, or ; or {—90F√(—181)}. 8x-13={(3x)+^/(623+52x2), to find x. find x. 390. Given Ans. x 2, or 3; or (3±3337). Ans. x=5, or -2; or 391. Given 42+21x+8x+(7x2-5x)=207-x. Ans. 23, or 207, or --1293/(-2567)} 392. Given x+4y=14, and y2+4x-2y+11, to find x and y. Ans. x=-46, or 2, y=15, or 3. 393. Given 2x+3y=118, and 5x2-7y2-4333, to find x and y. Ans. x=35, or 3899, and y=16, or 326o. 3x-5y + 2. 3 x=6, or, and y=3, or 3784. 396. Given “—y2—a2, and (x+y+b)2+(x−y+b)2=2c2. Ans. x-b±No (2a2—b2+2c); and y=√({{c2 — a2 = (2a2-b2c2)}). 397. Given 2+y: x2-y::97, and 1+x2: y+4::5y+7:3y, to find x and y. x=±4, or ±4√(—75), or y=2, or —1§. 398. Given +2x3y—441—x1y2, and xy=3+x, to find x and Ans. 2-3, or - 7, or −2 ± √(—17,) and y = 2, or 4, or }{5F√(—17)}. y. 399. Given +4y2-256-4xy, and 3y2-x2-39. Ans. x=6, or +102, and y=15, or 59. 400. Given (x+y)2—3y=28+3x, and 2xy+3x=35. Ans. x 5, or, or {-11F(-255)}. -5(-255)}, and y=2, or 3, or 401. Given x2+10x+y=119—2√yx(x+5), and x+2y=13. Ans. x=5, or, or (-69/241), and y=4, or †, or }{121±√241}. 2x2 402. Given 十二 y2 y 4(-65); or 7 or (15/3410). 403. Given x+y+√(x+y)=6, and x2+y2=10. Ans. x=3, or 1; or (9±√(61)}, and y=1, or 3; or 404. Given +4√(x2+3y+5)=55—3y, and 6x-7y=16. Ans. x 5, or 4-51); or (-93895), and y = 2, or -4; or (-70/3895.) 405. Given x2+3x+y=73—2xy, and y2+3y+x=44. 24, or 16; or -1258, and y-5, or-7; or -1/58. |