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
4.7110 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)
Question: What is the vertex of the quadratic function y = -2x^2 + 4x - 3?
+
Math question: What is the definite integral from 1 to 3 of x^2 dx?
+
Question: What is the value of angle B in a triangle with angles A, B, and C, where A = 60° and C = 80°?
+
New questions in Mathematics