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
110 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 75% of 120?
+
What are the two solutions to the quadratic equation 2x^2 - 5x + 2 = 0?
+
What is the value of 2 raised to the power of 5, minus the square root of 81, multiplied by 3 cubed?
+
New questions in Mathematics
A=m/2-t isolate t
a to the power of 2 minus 16 over a plus 4, what is the result?
Convert the following function from standard form to vertex form f(x) = x^2 + 7x - 1
Y=-x^2-8x-15 X=-7
A normally distributed population has a mean of 118 with a standard deviation of 18. What score separates the lowest 72% of the distribution from the rest of the scores?
90 divided by 40
5 people can complete a task in 72 hours. How many people are needed to complete the task in 60 hours.
The ratio of tomatoes to red apples is 2:5. If there are 20 tomaoes in the garden, how many red apples are there?
1 plus 1
3(2•1+3)4
If you randomly selected one person from the 900 subjects in this study, what is the probability that the person exhibits the minimum BMI?
Suppose the Golf ball market is perfectly competitive and the functions are known: Q = 120 – 2Px – 2Py 0.2I Q = 2Px 40 Where I = Consumers' income ($200) and Py = Price of Good Y (40) Calculate the equilibrium elasticity: a) 1.6 b) -6 c) 6 d) 0.6
What’s the slope of a tangent line at x=1 for f(x)=x2. We can find the slopes of a sequence of secant lines that get closer and closer to the tangent line. What we are working towards is the process of finding a “limit” which is a foundational topic of calculus.
The market for economics textbooks is represented by the following supply and demand equations: P = 5 + 2Qs P = 20 - Qd Where P is the price in £s and Qs and Qd are the quantities supplied and demanded in thousands. What is the equilibrium price?
Use the sample data and confidence level given below to complete parts​ (a) through​ (d). A drug is used to help prevent blood clots in certain patients. In clinical​ trials, among 4336 patients treated with the​ drug, 194 developed the adverse reaction of nausea. Construct a ​99% confidence interval for the proportion of adverse reactions.
What is the value of f(-3) for the function X squared+5x-8=
did an analysis of dropout from the nursing faculty at the Universidad Veracruzana. With a poblation of 122 students, it turned out that according to the gender data, the female sex predominates with 82%, and the male sex male is found with 12%. The main factors why students drop out are, first of all, "Not "re-enrolled" at 49%, second place "Personal reasons" at 20%, third place "change of school" in 11%, "lack of documents" and "economic reasons" in 7%, change of residence and lack of social service in 3%. Of this sample, how many students dropped out for other reasons?
15=5(x+3)
Let f(x)=-1/2x+5 evaluate f(-6)
f(r) = 1/r+9 find f(x^2) + 1

You might be interested in