Question

QUADRATIC EQUATIONS HELP

Answer 1

`(x-12)^2` &
`144`

Explanation:

The Equation given to us is ,

`\implies x^2 -24x + \cdots`

Here we need to find the value of the blank such that it is a perfect square.

This can be in the form of ,

`\implies (a-b)^2 = a^2+b^2-2ab`

On looking at equation ,

`\implies x^2 -2(12)x + \cdots`

For the whole equation to be whole square , the number that should replace the blank is 12² .

`\implies x^2 -2(12)x + 12^2\\\\\implies (x-12)^2`

Therefore 144 should be added .