If x+y is 4 and x×y is 12 than what is x and y

Hello from MrBillDoesMath!

(x,y) = (2 - 2 i sqrt(2), 2 + 2sqrt(2))

(x,y) = (2 + 2 i sqrt(2), 2 - 2sqrt(2))

Discussion:

x + y = 4 => y = 4 - x

Substituting the y value in xy = 12 gives

xy = x(4-x) = 12 =>

4x - x^2 = 12 =>

x^2 -4x + 12 = 0 =>          (applying the quadratic formula)

x = 2 - 2 i sqrt(2)          ( y = 4 - x = 4 - (2 -2isqrt(2) )

and

x = 2 + 2 i sqrt(2)        ( y = 4 - x = 4 - (2 +2isqrt(2) )

Thank you,

MrB

answer:  

step-by-step explanation:

here x represents the height of the pole,

and, the height of the shadow of the pole is 12 feet.

also, the angle of elevation from the top of the pole is 40°,

therefore,

by the low of sine,

which is the required equation for finding the value of x,