Смотри главное на скобку с минусом
(а-в)(а+в)=а^2-в^2
1)
5x = 12.5
x = 2.5
2)
2x = 5
x = 2.5
3)
4x - 7x + 2 = 17
-3x = 15
x = -5
-x²=36+12x
-x²-12x-36=0
x²+12x+36=0
x=-6
4x-x²=7
x²-4x+7=0
D=16-28= -12
Нет корней
-4x-x²-25=20x
x²+4x+20x+25=0
x²+24x+25=0
x1= -25
x2=1
sin(x) - sin(4x) = sin(3x) - sin(2x)
-2cos(5x/2)sin(3x/2) = 2cos(5x/2)sin(x/2)
-cos(5x/2)sin(3x/2) = cos(5x/2)sin(x/2)
-sin(3x/2) = sin(x/2)
-(sin(3x/2) + sin(x/2)) = 0
sin(3x/2) + sin(x/2) = 0
2sin(x)cos(x/2) = 0
<h2>1. sin(x) = 0</h2>
x = (-1)ⁿarcsin(0) + πn, n ∈ Z
<u>x = πn, n ∈ Z</u>
<h2>2. cos(x/2) = 0</h2>
x/2 = arccos0 + πn, n ∈ Z
<u>x = π + 2πn, n ∈ Z</u>