Question

If x= √ 6 + √ 6 + √ 6 + √6 + ⋯ … … … . . and x is a natural number ,

then find the quadratic equation.​

Answer 1

Answer:

let x=root6+root6........infinitt

by squaring

x2=6+root6+root6.....

x2=6+x

x2-x-6=0

x2-3x+2x-6=0

x(x-3)+2(x-3)=0

(x-3)(x+2)=0

x=3,x=-2

Step-by-step explanation: