Question

Write x^2 + 10x - 24 in form (x+p)^2+q where p and q are constants to be found

Answer 1

Explanation:

x^2 + 10x - 24 <===== change to vertex form of parabola using 'completing the square' method

Take 1/2 of the 'x' coefficient ( 5 ) ...square it (25) and add it and subtract it from the equation

x^2 + 10x + 25 ( - 25 - 24 ) Now you can reduce the first 3 elements to:

(x+5)^2 - 49 Done.