Question
Two numbers differ by 7, and the sum of their squares is 29. Find the numbers.
280
likes1400 views
Answer to a math question Two numbers differ by 7, and the sum of their squares is 29. Find the numbers.
Rasheed
4.7109 Answers
let numbers are x and y.
then x-y=7...............(1) and x^2+y^2=29
From (1), \left(x-y\right)^2=49 x^2+y^2-2xy=49
29-2xy=49
xy=-10 then y=-10/x,
Now from (1),
x+\frac{10}{x}=7 x^2-7x+10=0 so x=2,5, then y=-5,-2
So the numbers are 2,-5 or 5,-2
Frequently asked questions (FAQs)
What is the value of f(x) when x is any real number, if f(x) = c for all x?
+
Question: Find the factors of the expression 4x^2 - 9y^2 using the difference of squares formula.
+
What is the equation of an ellipse with a major axis of 8 units, minor axis of 6 units, and centered at the origin?
+
New questions in Mathematics