Write x2 - 10x = -24 in vertex form

Y=a(x-h)^2+k
basically, complet the square
x^2-10x=-24
take 1/2 of -10 and square it
-10/2=-5, (-5)^2=25
add that to both sides
x^2-10x+25=-24+25
factor perfect square
(x-5)^2=1
minus 1 both sides
(x-5)^2-1=0

128/3reason being 5 and 1/3 = 16/316/3 • 2/3 = 32/31 and 1/3 = 4/3 32/3 • 4/3 this will equal 128/3