Question

alguém resolve pra mim?
${x}^{2} - 11x + 32 = 22$

Answer 1

x²-11x+32=22
x²-11x+32-22=0
x²-11x+10=0

Δ=b²-4ac
Δ=(-11)²-4*1*10
Δ=121-40
Δ=81(Δ>0 x' e x" são diferentes)

x=-b ±√Δ /2a
x=-(-11)±√81/2*1
x=11±9/2

x'=11+9/2
x'=20/2
x'=10

x"=11-9/2
x"=2/2
x"=1

Resposta: S={1,10}