Question

daca x+ 1pex = 3, calculati xla2+1pexla2

Answer 1

x+1/x=3
x²+1/x=3⇒x²+1=3x⇒x²-3x+1=0
a=1
b=-3
c=1
Δ=b²-4ac⇒9-4⇒Δ=5⇒√Δ=√5
x1x2=-b+-√Δ/2a
x1=3+√5/2
x2=3-√5/2

x²+1/2⇒
numitorul comun este 2
2x²+1/2=0⇒2x²+1=2×0⇒
2x²+1=0
a=2
b=0
c=1
Δ=b²-4ac⇒0-8⇒-8⇒√Δ=√-8
x1x2=0-√-8/4⇒√8/4
sucees