Question

factors of 3528 that add up to 23?

Answer 1

so we have xy=3528 and x+y=23. solve the sum for either x or y

Answer 2

if you solve for y: y=23-x, so xy=x(23-x)=3528

Answer 3

but now we have -x^2+23x=3528 so we didn't get anywhere because we still have to come up with factors of 3528 that add up to be 23. Do you know the quadratic formula?

Answer 4

its a trinomial. i have to factor it, but i couldnt find any thing to pull out. heres the equation:
\[63a^2+23ab-56b^2\]

Answer 5

oh factors of -3528 that add up to be 23 one sec

Answer 6

ok so i normally make a little tree and move numbers around and I got 72(-49)=-3528 and 72+(-49)=23

Answer 7

ohhhh okay i see what i did wrong. having the negative right?

Answer 8

right

Answer 9

okayy i see, thank you!

Answer 10

np

Answer 11

so when i do it i write it as...

Answer 12

\[63a^2+79ab-41ab-5b^2\]

Answer 13

63a^2+72ab-49ab-5b^2 or 63a^2-49ab+72ab-5b^2

Answer 14

okay cool, thanks!

Answer 15

well that 5 is suppose to be 56 in both cases