By first completing the square, then factorising using the difference of two squares, or otherwise, solve:

$x^2+24x+63=0$x2+24x+63=0

$x^2-14x+33=0$x2−14x+33=0

By first completing the square, then factorising using the difference of two squares, solve:

$x^2+38x+105=0$x2+38x+105=0

$x^2-40x+144=0$x2−40x+144=0

Form and use linear, quadratic, and simple trigonometric equations

Apply algebraic methods in solving problems