2х^2+7х-9=0
t^2+7t-18=0
t(1)=-9
t(2)=2
x(1)=-4,5
x(2)=1
В)
4x²-21x+20=-7
4x²-21x+20+7=0
4x²-21x+27=0
D=441-4*4*27=441-432=9=3²
x1=(21+3)/8=24/8=3
x2=(21-3)/8=18/8=2.25
Ответ: 2,25;3
г)
9x²+9x+4=2
9x²+9x+4-2=0
9x²+9x+2=0
D=81-4*9*2=81-72=9=3²
x1=(-9+3)/18=-6/18=-1/3
x2=(-9-3)/18=-12/18=-2/3
Ответ: -2/3; -1/3
1) 1.21 - х^2= (1,1 - x)(1,1 + x)
2) 25/64 - p^2= (5/8 - p)( 5/8 + p)
=(x -9y)/(x -3y)(x +3y) + 3y/x(x -3y) =
=(x(x -9y) +3y(x +3y)) /x(x -3y)(x +3y) =
=(x² -9xy +3xy +9y²) /x(x -3y)(x +3y) =
=(x² -6xy +9y²) /x(x -3y)(x +3y) =
=(x -3y)² /x(x -3y)(x +3y) =
=(x -3y) /x(x +3y)