Solution:- Given equation 7x² = 9 + x
We can write this 7x² -x-9=0
This equation is in Standard form of ax²+bx+c=0,
So a=7 , b=-1 and c=-9
From quadratic formula X={-b+-√(b²-4ac)}/2a
For +ve value
X={-(-1) +√(-1)²-4×(7)×(-9)}/2×7
={1+√(1+252)}/14
={1+√253}/14For
-ve value
X={-(-1) -√(-1)²-4×(7)×(-9)}/2×7
={1+√(1+252)}/14
={1-√253}/14