root 6 plus root 6 till infinity is equal to - Math - Polynomials

Question

root 6 plus root 6 till infinity is equal to

Tanveer Sofi · Accepted Answer

We are given6+6+6+ ∞let x=6+6+6+
∞Squaring both sides,  we getx2=6+ 6+6+6+
∞⇒x2=6+x                                               6+6+6+
∞=x⇒x2-x-6=0⇒x2-3x+2x-6=0⇒xx-3+2x-3=0⇒x-3x+2=0⇒x=-2, 3As, 6+6+6+
∞ is positive
Therefore,the value of   6+6+6+
∞ is  3