Решите уравнение (5х-3) в квадрате=(4х+3)(4х-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
(5х-3) ^2 =(4х+3)(4х-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