If x≠0 and x+12x = 4, then find the value of x2+14x2
15
Using the identity:
(a+b)2=a2+b2+2ab
(x+12x)2 = x2+14x2+2×x×12x
(x+12x)2 =x2+14x2 + 1
Substituting the value of x+12x in the above expression we get,
42 =x2+14x2+1
15=x2+14x2
Hence, the value of
x2+14x2=15.