How do you solve the quadratic #3x^2-2x=2x+7# using any method?
7 is a prime number so does not share any common factors other than 1 with the other coefficients.
Compare to the standardised equations:
Same solution but using completing the square. The process introduces an error that has to be corrected by the inclusion of
Takes longer to explain than do the maths.
Let the constant of correction be
At this point
Take the square from
Halve the coefficient of
Now get rid of the
We now have to find the value of
The error comes from the term
So from equation(2) we have
So equation(2) becomes: