2 Lineare Gleichungssysteme - Duden Paetec

Quadratische Gleichungen und Gleichungen höheren Grades 53Seite 111Gleichungen höheren Grades75. a) x = 2 b) x = 0 c) x 1 = 2; x 2 = – 2 d) x = – 1e) x 1 = 10; x 2 = – 10 f) keine Lösung g) x = – 1 h) x = 0,1i) x 1 = 2-- ; x 2 = – 2--j) x 1 = 2; x 2 = – 2 k) x = – 2 l) x 1 = 1; x 2 = – 13 376. a) x 1 = 0; x 2 = – 1 b) x 1 = 3; x 2 = – 3; x 3 = – 2 c) x 1 = 1; x 2 = – 1d) x 1 = 2; x 2 = – 2 e) x 1 = 1,3; x 2 = – 1,3 f) x 1 = 3; x 2 = 1; x 3 = – 277. a) x 2 (x 2 – 4) = 0; x 1 = 0; x 2 = 2; x 3 = – 2 b) x(x 2 – 16 ----- ) = 0; x 1 = 0; x 2 = 4-- ; x 3 = – 4--93 3c) 2x 2 (x 2 – 9) = 0; x 1 = 0; x 2 = 3; x 3 = – 3 d) x(x 2 + x – 2) = 0; x 1 = 0; x 2 = 1; x 3 = – 2e) x(x 2 – 2x + 1) = 0; x 1 = 0; x 2 = 1 f) x 2 (x 2 + 1) = 0; x = 0g) (x 2 + 3)(x 2 – 3) = 0; x 1 = 3 ; x 2 = – 3h) keine Lösungi) (x 2 – 3) 2 = 0; x 1 = 3 ; x 2 = – 378. a) x 1 = 1; x 2 = 2; x 3 = – 1; x 4 = – 2 b) x 1 = 1; x 2 = 3; x 3 = – 1; x 4 = – 3c) x 1 = 3; x 2 = 2; x 3 = – 3; x 4 = – 2 d) x 1 = 2; x 2 = – 2 e) x 1 = 2 ; x 2 = – 2f) x 1 = 2 ; x 2 = – 2 ; x 3 = 1; x 4 = – 1 g) x 1 = 1; x 2 = – 1 h) keine Lösungi) x 1 = 2 ; x 2 = – 2 ; x 3 = 3 ; x 4 = – 3j) x 1 = 1; x 2 = 4; x 3 = – 1; x 4 = – 4k) x 1 = 1-- ; x 2 = – 1-- l) x 1 = 1-- ; x 2 = – 1--; x 3 = 2; x 4 = – 22 2 2 279. a) x 4 – 29x 2 + 100 = 0 b) x 4 – 9x 2 = 0 c) x 4 – 1-- x + ----- 1 = 0 d) x 4 – 10x 3 + 35x 2 – 50x + 24 = 02 16e) x 4 – 5x 3 = 0 f) x 4 – x = 0 g) x 4 + 10x 3 + 35x 2 + 50x + 24 = 0h) x 4 + 5x 3 = 0 i) x 4 + x = 080. a) Gleichung 3. Grades bezüglich x b) Gleichung 3. Grades bezüglich ac) weder 3. Grades noch 4. Grades d) Gleichung 3. Grades bezüglich re) Gleichung 4. Grades und biquadratische Gleichung bezüglich x f) Gleichung 4. Grades bezüglich xg) Gleichung 4. Grades bezüglich x h) Gleichung 3. Grades bezüglich a und bi) Gleichung 4. Grades bezüglich a, Gleichung 3. Grades bezüglich bj) Gleichung 4. Grades bezüglich a und b k) Gleichung 3. Grades bezüglich y = 2 xl) Gleichung 3. Grades bezüglich y = 10 x81. a) x 1 = 1; x 2 = – 1 b) x 1 = 1; x 2 = 0 c) x 1 = 9; x 2 = 0 d) keine Lösunge) x 1 = 2; x 2 = – 2 f) x 1 = 5; x 2 = 0 g) x 1 = ------ 2 ; x 2 = – ------ 2 h) x 1 = 2; x 2 = – 222i) x 1 = 5 ; x 2 = – 5 ; x 3 = 3; x 4 = – 3 j) x 1 = 5 ; x 2 = – 5 k) x 1 = 1-- ; x 2 = – 1-- ; x 3 = 3-- 2 2 2; x 4 = – 3--2l) x 1 = 3; x 2 = – 3 m) keine Lösung n) x 1 = ----- 5 ; x 2 = – ----- 5 ; x 3 = 2-- ; x 4 = – 2--12 12 3 3o) x 1 = 1-- ; x 2 = – 1--2 282. a) x 2 = – 2 b) x 2 = 1; x 3 = – 1 c) x 2 = 1; x 3 = – 3d) x 2 = 0 e) x 2 = 3; x 3 = – 2; x 4 = – 3 f) x 2 = – 1; x 2 = – 2; x 3 = 1; x 4 = 0