MathMaster logo

MathMaster

  1. Home
  2. general
  3. two numbers differ by 7 and the sum of their squares is 29 find the numbers
Question

Two numbers differ by 7, and the sum of their squares is 29. Find the numbers.

280

likes
1400 views

Answer to a math question Two numbers differ by 7, and the sum of their squares is 29. Find the numbers.

Expert avatar
Rasheed
4.7
109 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 hyperbolic cosine of 5 multiplied by the hyperbolic tangent of 3?
+
Math question: Is there a solution to the equation x^n + y^n = z^n, where x,y,z,n are positive integers, for any value of n greater than 2? (
+
How many ways can 7 people sit in 3 chairs?
+
New questions in Mathematics
-442/c+5=26 what is c?
-6n+5=-13
A college believes that 22% of applicants to that school have parents who have remarried. How large a sample is needed to estimate the true proportion of students who have parents who have remarried to within 5 percentage points?
12-6x=4x+2
Convert 78 percent to a decimal
Find the equation of the line perpendicular to −5𝑥−3𝑦+5=0 passing through the point (0,−2)
How many anagrams of the word STROMEC there that do not contain STROM, MOST, MOC or CEST as a subword? By subword is meant anything that is created by omitting some letters - for example, the word EMROSCT contains both MOC and MOST as subwords.
How many anagrams of the word SROMEC there that do not contain STROM, MOST, MOC or CEST as a subword? By subword is meant anything that is created by omitting some letters - for example, the word EMROSCT contains both MOC and MOST as subwords.
suppose random variable x follows poisson distribution with expected value 3. what is variance of x?
It is known that the content of milk that is actually in a bag distributes normally with an average of 900 grams and variance 25 square grams. Suppose that the cost in pesos of a bag of milk is given by 𝐶(𝑥) = { 3800 𝑠𝑖 𝑥 ≤ 890 4500 𝑠𝑖 𝑥 > 890 Find the expected cost.
89, ÷ 10
If X1 and X2 are independent standard normal variables, find P(X1^2 + X2^2 > 2.41)
Convert 9/13 to a percent
Give an example of a function defined in R that is continuous in all points, except in the set Z of integers.
How to convert 45 kg into grams
Two particles of electrical charges Q1=3.8×10-⁶C and q,=4.4×10-⁶C are separated in vacuum by a distance of 4.0.10-⁸ m. Since K=9.0.10⁹ N.m²/C², the intensity of the interaction force between them, in newtons, is?
Solve the following 9x - 9 - 6x = 5 + 8x - 9
How much does 7.2 moles of ammonium dichromate weigh? (NH4)2Cr2O7
A group of 17 people spent 9 days on vacation and spent R$776.34 on barbecue meat and the bill needs to be divided as follows: 6 people stayed for 9 days, 7 people stayed for 4 days, and 2 people stayed for 5 days and 2 people stayed 3 days, how much does each group have to pay for the days they stayed?
Dano forgot his computer password. The password was four characters long. Dano remembered only three characters: 3, g, N. The last character was one of the numbers 3, 5, 7, 9. How many possible expansions are there for Dano's password?

You might be interested in