Answer: x=4
Step-by-step explanation:
Since this is a rectangle we already know that all the angles are 90, so we can do this:
46+10x+4=90
50+10x=90
10x=40
x=4
Ok so there are no real solutions for xy=15000 and x+y=5
there are immaginary solutions though so
xy=15000
x+y=5
x+y=5
y=5-x
x(5-x)=15000
-x^2+5x=15000
0=x^2-5x+15000
quadriacic formula
if ax^2+bx+c=0, then
x=
![\frac{-b+/- \sqrt{b^{2}-4ac} }{2a}](https://tex.z-dn.net/?f=%20%5Cfrac%7B-b%2B%2F-%20%5Csqrt%7Bb%5E%7B2%7D-4ac%7D%20%7D%7B2a%7D%20)
x^2-5x+15000
a=1
b=-5
c=15000
x=
![\frac{-(-5)+/- \sqrt{(5)^{2}-4(1)(15000)} }{2(1)}](https://tex.z-dn.net/?f=%20%5Cfrac%7B-%28-5%29%2B%2F-%20%5Csqrt%7B%285%29%5E%7B2%7D-4%281%29%2815000%29%7D%20%7D%7B2%281%29%7D%20)
x=
![\frac{5+/- \sqrt{25-60000} }{2}](https://tex.z-dn.net/?f=%20%5Cfrac%7B5%2B%2F-%20%5Csqrt%7B25-60000%7D%20%7D%7B2%7D%20)
x=
![\frac{5+/- \sqrt{-59975} }{2}](https://tex.z-dn.net/?f=%20%5Cfrac%7B5%2B%2F-%20%5Csqrt%7B-59975%7D%20%7D%7B2%7D%20)
x=
![\frac{5+/- 5i\sqrt{2399} }{2}](https://tex.z-dn.net/?f=%20%5Cfrac%7B5%2B%2F-%205i%5Csqrt%7B2399%7D%20%7D%7B2%7D%20)
so the numbers are
![\frac{5+ 5i\sqrt{2399} }{2}](https://tex.z-dn.net/?f=%20%5Cfrac%7B5%2B%205i%5Csqrt%7B2399%7D%20%7D%7B2%7D%20)
and
78 and 84 this is because 78 and 84 simplifies to 39 and 42
There are multiple answers like 15 16 17 18 19 and also 20. Are the correct answers