SOLUTION: Complete the steps in solving the quadratic function 7x – 9 = 7x2 – 49x by completing the square.

Swap sides since the squared term in on the right:



Get all terms in x on the left and the constant 
term on the right:



Divide every term by the coefficient of x², which is 7





To the side, take the coefficient of x, which is -8,
multiply it by , .
Now square the -4, getting .
Add +16 to both sides of the equation:



Factor the left side.
Get an LCD and add the fractions on the right:



The left side has two equal factors, so we write
it as the square of one of the factors. Work some
more on the right side:



Finish the right side:



We use the principle of square roots:




We rationalize the denominator on the right:
















Edwin