SOLUTION: diff of two no. is 7. their product is 14. sum of their squares is 77. find two no.s?

Question 332491: diff of two no. is 7. their product is 14. sum of their squares is 77. find two no.s?
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
diff of two no. is 7. their product is 14. sum of their squares is 77.
-----------------
y-x = 7 --> y=x+7
x*y = 14
Sub for y
x*(x+7) = 14
x^2 + 7x = 14
x^2 + 7x - 14 = 0

Solved by pluggable solver: SOLVE quadratic equation (work shown, graph etc)

Quadratic equation (in our case ) has the following solutons:

For these solutions to exist, the discriminant should not be a negative number.

First, we need to compute the discriminant : .

Discriminant d=105 is greater than zero. That means that there are two solutions: .

Quadratic expression can be factored:

Again, the answer is: 1.6234753829798, -8.6234753829798. Here's your graph:

-------------
x = 1.623475
y = 8.623475
---------------
x = -1.623475
y = -8.623475

RELATED QUESTIONS
the sum of two numbers is 77 and their difference is 31. what is their... (answered by TimothyLamb)

the sum of two number is 3 and the sum of their squares is 12, find their... (answered by ewatrrr)

The sum of two numbers is 27. The sum of their squares is 9 less than twice their... (answered by MathDazed)

if the sum of two numbers is 4 and the sum of their squares minus three times their... (answered by ikleyn)

Two no. Are like that if they are added the product is 56 and when they 2 no. Are added... (answered by ankor@dixie-net.com)

The sum of the squares of two numbers is 197. The square of their difference is 83. Find... (answered by Alan3354,ankor@dixie-net.com)

two numbers differ by 7 and the sum of their squares is 29. find the numbers (answered by JBarnum,Stitch)

The product of two numbers is 2, and the sum of their squares is 17/2. Find the... (answered by edjones)

if the difference of two numbers is 10 and their product is 18,what is the sum of their... (answered by checkley71)