Question

1) Rezolvati ecuatiile:
a)(x+2)^2=4(x+3); (x-3)^2=3(9-2x)
b)(2x+1)^2=4(x+7); (2x-3)^2=3(9-4x)
VA ROG :)

Answer 1

a) x²+4x+4=4x+12
x²+4x+4-4x-12=0
x²-8=0
x²=8 x=√8. x=-√8
b) (x-3)²=3(9-2x)
x²-6x-9=27-6x
x²-6x-9-27+6x=0
x²-36=0
x²=36. x=6. x=-6
c) (2x+1)²=4(x+7)
4x²+4x+1=4x+28=0
4x²+4x+1-4x-28=0
4x²-27=0
4x²=27
x²= 27 supra 4
x= 27supra 4. x=-27supra 4
d)(2x-3)²=3(9-4x)
4x²-12x-9=27-12x
4x²-12x-9-27+12x=0
4x²-36=0
4x²=36
x²=9. x=3. x=-3