x^2-5x and can you show me a step by step?
2006-11-18 15:23:52 · 6 answers · asked by w_xsoadx_w 2 in Science & Mathematics ➔ Mathematics
Divide the coefficient of the x term by 2: -5/2
Then square it: (-5/2)^2 = 25/4
Answer: 25/4
2006-11-18 15:25:47 · answer #1 · answered by MsMath 7 · 3⤊ 1⤋
To find the square you are completing, you take the exponent of the x term and divide by two. So the square is:
(x-5/2)^2
Now, if you multiply this out, what is the third term? It's (-5/2)^2, which is 25/4.
So your answer is 25/4!
2006-11-18 23:29:32 · answer #2 · answered by just♪wondering 7 · 0⤊ 0⤋
x^2 - 5x + .... = (x - ....) ^2
Well (x - a)^2 = x^2 - 2ax + a^2
So 2a = 5 so a = 5/2 and therefore a^2 = 25/4
So x^2 - 5x + 25/4 = (x - 5/2)^2
2006-11-18 23:29:10 · answer #3 · answered by Wal C 6 · 1⤊ 0⤋
x^2-5x
=x^2-5x +25/4-25/4
=(x-5/2)^2-25/4
2006-11-18 23:27:42 · answer #4 · answered by Dupinder jeet kaur k 2 · 0⤊ 1⤋
x^2-5x+(-5/2)^2
x^2-2x+25/4
2006-11-18 23:27:47 · answer #5 · answered by 7 · 1⤊ 0⤋
Lovely when everyone gets the same answer!
2006-11-19 00:04:31 · answer #6 · answered by Hynton C 3 · 0⤊ 0⤋