# Quadratic Equations : Making a Perfect Square

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What must be added to each of the following expressions to obtain a perfect square?

a) x^2 + 5x

b) a^2 + 2ka

c) c^2 - 4c

https://brainmass.com/math/basic-algebra/quadratic-equations-making-perfect-square-12402

#### Solution Preview

a) x^2 + 5x

The coefficient of x is 5. Half of this is 5/2

x^2 + 5x + (5/2)^2 = (x + ...

#### Solution Summary

The constant that needs to be added to turn an expression into a perfect square is found.

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