Question

Resolva as equações

(2-x)²+2=(2x+1)²+10

Answer 1

(2-x)²+2=(2x+1)²+10

4-4x+x²+2= 4x²+4x+1+10

x²-4x+6= 4x²+4x+11

x²-4x²-4x-4x+6-11=0

-3x²-8x-5=0

3x²+8x+5=0

∆=8²-4.3.5
∆=64-60
∆=4

x=-8±√4/2.3
x= -8±2/6
x1=-8+2/6= -6/6=-1
x2= -8-2/6= -10/6