Question

1)6x^2+5x-20=-9
2)13x^2+x+10=5x^2+17
3)3x^4+4x^2-23=-9+x+3x^4
4)10x^2+19x=19x^2+5x+5

Answer 1

1) 6х^2 + 5х - 20 + 9 = 0
6х^2 + 5х - 11 = 0
D = (25 - 4×6×(-11)) = 25 + 264 = 289
х1 = ((-5) - 17)/12 = -22/12
х2 = ((-5) + 17)/12 = 1
2) 8х^2 + х - 7 = 0
D = 1 - 4×8×(-7) = 225
х1 = ((-1) - 15)/16 = -1
х2 = ((-1) +15)/16 = 7/8
3) 4х^2 - х - 14 = 0
D = 1 - 4×4×(-14) = 225
х1 = (1 - 15)/8 = -7/4
х2 = (1 + 15)/8 = 2
4) 9х^2 - 14х + 5 = 0
D = 196 - 4×9×5 = 16
х1 = (14 - 4)/18 = 5/9
х2 = (14 + 4)/18 = 1