Answer:
x = [tex]\frac{-b\pm\sqrt{b^{2}-4ac} }{2a}[/tex]
Step-by-step explanation:
We have
7x²=9+x
Subtracting x from both sides, we get
7x²-x=9+x-x
Cancelling out +x and -x from the right side, we get
7x²-x=9
Subtracting 9 from both sides, we get
7x²-x-9=9-9
Cancelling out 9 and -9 from the right side, we have
7x²-x-9 = 0
The above equation is in the form ax²+bx+c=0 where upon comparing we get a= 7 , b = -1 and c= -9
We can solve for x using the below quadratic formula:-
x = [tex]\frac{-b\pm\sqrt{b^{2}-4ac} }{2a}[/tex]
Upon solving we'll get two values for x, one positive an the other negative.
