Question

Решить уравнение a) x (x+4)=77 b) x (x-3)=54 в) x (x-+12)=85 г) x (x-2)=63 за ранее

Answer 1

X² + 4x - 77 = 0
D=b² - 4ac = 16 - 4 × (-77) = 16 + 308 = 324 = 18²
x1 = ( - 4 + 18) / 2 = 7
x2 = ( - 4 - 18) / 2 = - 11
ответ: x1 = 7, x2 = - 11

x² - 3x - 54 = 0
D = b² - 4ac = 9 - 4 ×(- 54 )= 9 + 216 = 225 = 15²
x1 = ( 3 + 15)/2 = 9
x2 = ( 3 - 15) / 2 = - 6
ответ: x1 = 9, x2 = - 6

x² - 2x - 63 = 0
D = b² - 4ac = 4 - 4 × (-63) = 4 + 252 = 256 = 16²
x1 = ( 2 + 16) / 2 = 9
x2 = ( 2 - 16) / 2 = - 7
ответ: x1 = 9, x2 = - 7

x² + 12x - 85 = 0
D = b² - 4ac = 144 - 4 × ( - 85) = 144 + 340 = 484 = 22²
x1 = ( - 12 + 22) / 2 = 5
x2 = ( - 12 - 22) / 2 = - 17
ответ: x1 = 5, x2 = - 17