The product of 2 numbers is 504. The difference between the 2 numbers is 10. What is the bigger number?
Hi Maia,
a+b=10
so
b=10-a
ab=504
a(10-a)=504
-a^2+10a-504=0
a^2-10a+504=0
a2−10×a+504=0⇒{a=5−√479×ia=√479×i+5}⇒{a=5−21.8860686282392892ia=5+21.8860686282392892i}
There are no real solutions to this .
i think you made a slight error here, Melody....we have
A - B = 10 → B =A - 10 and AB = 504 ...so we have
A(A - 10) = 504
A^2 - 10A - 504 = 0 factor
(A + 18) (A - 28) = 0
Then, either A = -18 and B = -28 or A = 28 and A = 18