1) 2x²- x - 10 = 18
2x² - x - 28 = 0
D = b² - 4ac = 1 + 224 = 225 = 15²
x1 = ( 1 + 15) / 4 = 4
x2 = ( 1 - 15) / 4 = - 3,5
2) 16x² - 24x + 9 + 9x² - 1 = 9
25x² - 24x - 1 = 0
D = b² - 4ac = 576 + 100 =676 = 26²
x1 = ( 24 + 26) / 50 = 1
x2 = ( 24 - 26) / 50 = - 0,04
3) x² + 6x + 9 - ( 4x² - 4x + 1) = 16
x² + 6x + 9 - 4x² + 4x - 1 - 16 = 0
- 3x² + 10x - 8 = 0
3x² - 10x + 8 =0
D =b ² -4ac = 100 - 96 = 4 = 2²
x1 = ( 10 + 2) / 6= 2
x2 = ( 10 - 2) / 6 = 8/6 = 4/3 = 1 1/3
4) x² - 12x + 36 - 2x² - 6x = 30 - 12x
- x² - 6x + 6 =0
x² + 6x - 6 = 0
D = 36 + 24 = 60
x1 = ( - 6 + √60) / 2
x2 = ( - 6 - √60) / 2
5) x²- x - 56 - ( 4x²- 7x - 2) = - 21x
x² - x - 56 - 4x² + 7x + 2 + 21x =0
- 3x² + 27x - 54 = 0
x² - 9x + 18 =0
D = 81 - 72 = 9 = 3²
x1 = ( 9 + 3) / 2 = 6
x2 =( 9 - 3) / 2 = 3
6) 4x² - 1 - x + x² = 2x² + 2x
5x² -2x² - x - 2x - 1 = 0
3x² - 3x - 1 = 0
D = 9 + 12 = 21
x1 = ( 3 + √21) / 6
x2 =( 3 - √21) / 6