Is the following trinomial a perfect square? x2 – 6x + 9?

Yes, it factors into : (x-3)^2

YES!

(x-3)^2

Yes (x-3)^2

For a acceptable sq. the consistent must be the sq. of 0.5 the (x) area and be +ve so x^2-14^x+40 9 is a acceptable sq. (x-7)^2 yet x^2-18x-eighty one isn’t a acceptable sq. (-eighty one not +eighty one) x^2+6x – you halve the six to get 3 so upload +9 x^2+9x – you halve the 9 to get 4.5 and sq. it to get 20.25 hint – to sq. any selection ending in 5 you’re taking something of the selection and multiply it by making use of one greater and then tag 25 on the top – so 4.5^2 = (4*5) = 20 then positioned the .25 on the top 20.25

yes it is

(x-3) (x-3)

(-b +- sqrt (b^2-4ac))/2a

= (6 +/ sqrt(36-4*1*9))/2

= (6 + sqrt(36-36))/2

=6/2 =3

so, by this any equation whose b^2-4ac is zero, will yield a perfect square.

-Aski