SOLUTION: Two positive real numbers have a sum of 7 and a product of 11. Find the numbers. I don't know how to start this problem. Also. 2x^2 + 6x + 3 = 0 how would you do this using c

Question 185592This question is from textbook
: Two positive real numbers have a sum of 7 and a product of 11. Find the numbers.
I don't know how to start this problem.
Also. 2x^2 + 6x + 3 = 0
how would you do this using completing the square? I did it. but ended up with a weird answer like -3/2 +or- the square root of 3 over 2. This question is from textbook

Answer by Earlsdon(6294) (Show Source): You can put this solution on YOUR website!
Let the two positive real numbers be x and y, then...
1) "Two positive real numbers have a sum of 7..."
2) "...and a product of 11."
Rewrite equation 1) as x = 7-y and substitute this for x in equation 2)
2a) Perform the indicated multiplication (distribute) on the left side.
2a) Rearrange to form a standard quadratic equation.
2a) Use the quadratic formula: to solve (a = 1, b = -7, c = 11):
Simplify:

or
Check:
=
=
On part 2 of the problem, your "weird" answer is the correct solution!

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