which equation shows the quadratic formula used correctly to solve 7x2 = 9 + x for x?
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which equation shows the quadratic formula used correctly to solve 7x2 = 9 + x for x?

 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

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