Răspuns:
Explicație pas cu pas:
√(5x-2)² - 6 = -2 <=>
√(5x-2)² = 6-2 <=>
√(5x-2)² = 4 I²<=>
(5x-2)² = 16 <=>
25x²-20x+4 = 16 <=>
25x²-20x - 12 = 0
a = 25 ; b = -20 ; c = -12
Δ = b²-4ac = (-20)²-4·25·(-12) = 400+1200 = 1600
√Δ = √1600 = 40
x₁,₂ = (-b±√Δ)/2a = (20±40)/50
x₁ = -2/5 ; x₂ = 6/5
