Question

If using the method of completing the square to solve the quadratic equation x^2-15x-10=0, which number would have to be added to complete the square

Answer 1

Answer:

            $\bold{\dfrac{225}4}$

Step-by-step explanation:

$x^2-15x-10=0\\\\x^2-2\cdot x\cdot\frac{15}2+(\frac{15}2)^2-(\frac{15}2)^2-10=0\\\\(x-\frac{15}2)^2-\frac{225}4-10=0$

So to complete the square we need to add (and subtract) the number  $\frac{225}4$