How do you solve #4c^2 + 10c = -7# by completing the square?
- Factor out the coefficient of
#x^2#, then work with the quadratic expression which has a coefficient of #x^2#equal to #1#
- Check the coefficient of
#x#in the new quadratic expression and take half of it - this is the number that goes into the complete square bracket
- Balance the constant term by subtracting the square of the number from step 2 and putting in the constant from the quadratic expression
- The rest is arithmetic that may often involve fractions
Re-write the equations as
This just presents the quadratic in an alternative format.