Question

Решить уравнение 5x^2 + 3x - 2 = 0 через формулу a(x-m)^2 + n = 0​

Answer 1

5x^2 + 3x - 2 = 0 через формулу a(x-m)^2 + n = 0​

5(x^2 + 3/5x) - 2 = 0

(x - m)^2 = x^2 - 2mx + m^2

5(x^2 + 2*x*3/10 + (3/10)^2 - (3/10)^2) - 2 = 0

5(x + 3/10)^2 - 5*9/100 - 2 = 0

5(x + 3/10)^2 - 2 9/20 = 0

m = - 3/10

n = - 2 9/20