Question

What are numbers that when multiplied, is 6, and when added is 13?

Answer 1

Xy=6
x+y=13

x+y=13
minus x
y=13-x
sub for y in other equation
x(13-x)=6
13x-x^2=6
add -13x+x^2 to both sides
0=x^2-13x+6
use quadratic formula
for
ax^2+bx+c=0
x=$\frac{-b+/- \sqrt{b^{2}-4ac} }{2a}$

a=1
b=-13
c=6

x=$\frac{-(-13)+/- \sqrt{(-13)^{2}-4(1)(6)} }{2(1)}$
x=$\frac{13+/- \sqrt{169-24} }{2}$
x=$\frac{13+/- \sqrt{145} }{2}$
x=$\frac{13+ \sqrt{145} }{2}$ or $\frac{13- \sqrt{145} }{2}$
aprox
x=12.5208 or0.479203

the numbers are 12.5208 and 0.479203