Question

Решите уравнение (6-х)(5х+40)=0

Answer 1

(6 - x)(5x + 40) = 0
30x - 5x^2 + 240 - 40x = 0
5x^2 + 10x - 240 = 0
x^2 + 2x - 48 = 0
Дискриминант D = 2^2 - 4 * 1 * (- 48) = 4 +  192 = 196
sqrt(196) = 14
Корни квадратного уравнения равны : 1- ый = (- 2 + 14) / 2*1 =  6
2 - ой = (- 2 - 14) / 2* 1 = - 8

Answer 2

(6 - x)(5x + 40) = 0 30x - 5x^2 + 240 - 40x = 0 5x^2 + 10x - 240 = 0 x^2 + 2x - 48 = 0 D = 2^2 - 4 * 1 * (- 48) = 4 + 192 = 196 √196=14 х1 = (- 2 + 14) / 2*1 = 6 х2 = (- 2 - 14) / 2* 1 = - 8