X² + px + 42 = 0
(x₁ - x₂)² = 1
(x₁ - x₂)² = (x₁ + x₂)² - 4·x₁·x₂ = 1
По теореме Виета: p = -(x₁ + x₂), x₁·x₂ = 42.
p² - 4·42 = 1
p² - 168 = 1
p² = 169
p = (+/-) 13
А) 9y: 15y^2x^2 -10x: 15x^2y^2=9y^2-10x:15x^2y^2. б)4:(y-2)(y+2) -1 :(y-2)= 4:(y-2)(y+2) -(y+2):(y+2)(y-2)=4-y-2:(y-2)(y+2) в) -2(a+b):(a+b)^2+3a+3b:(a+b)^2=-2a-2b: (a+b)^2+3a+3b : (a+b)^2=a+b:(a+b)^2=1:a+b г)(18-10):15a-30=8:15a-30 д)1:x(x-y)-1:x(1-y^2)=1-y^2-x-y:x(x-y)(1-y)(1+y)=loading... я не знаю
(3b+4a^3)^2=3^2•b^2+2•3b•4a^3+4^2•(a^3)^2=
=9b^2+24ba^3+16a^6.
(2a+c) (a-3c) + a(2c-a) =2a^2-6ac+ac-3c^2+2ac-a^2=a^2-3ac-3c^2
Y'=(2x⁴-x³+3x+4)'=2*4x³-3x²+3=8x³-3x²+3
y'=(eˣ-sinx)'=eˣ-cosx
y'=(sin5x+cos(2x-3))'=5cosx-2sin(2x-3)