Question

sa se determine solutile reale ale ecuati log cu baza 4 (x²-x-2)=1 .

Answer 1

㏒₄(x²-x-2)=1
CE:X²-X-2>0
x²-x-2=4¹⇒x²-x-2=4⇒x²-x-2-4=0⇒x²-x-6=0
a=1
b=-1
c=-6
Δ=b²-4ac⇒Δ=(-1)²-4×1×(-6)⇒Δ=1+24⇒Δ=25⇒√Δ=√25⇒Δ=5
x1x2=-b+-√Δ/2a
x1=1+5/2⇒6/2⇒x1=3
x2=1-5/2⇒-4/2⇒x2=-2
sucees