Решите уравнение (5 х-3) в квадрате = (4 х+3) (4 х-3)

(5x-3) ^2=16x^2-9

25x^2-30x+9=16x^2-9

9x^2-30x+18=0

3x^2-10x+6=0

D=100-72=28

x = (10+2√7) / 6 = (5+√7) / 3

x = (10-2√7) / 6 = (5-√7) / 3

(5 х-3) ^2 = (4 х+3) (4 х-3)

25x^2 - 30x + 9 = 16x^2-12x + 12x-9

25x^2 - 30x + 9-16x^2+12x-12x+9

25x^2 - 30x + 9-16x^2+9

9x^2-30x+18

3x^2-10x+6

a=3, b=-10, c=6

D = b^2-4ac, (-10) ^2-4*3*6 = 100-72=28

x1 = (10+2√7) / 6 = (5+√7) / 3

x2 = (10-2√7) / 6 = (5-√7) / 3