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 the condition to determine if two triangles are congruent?

What is the length of the side opposite the given angle, if the adjacent side measures 6 units and the angle measures 30 degrees?

What is the value of x in the equation log(base 5)(x+2) = 3?

New questions in Mathematics

Karina has a plot of 5000 square meters in which she has decided that 60% of it will be used to plant vegetables. Of this part, 12% will be dedicated to planting lettuce. How much surface area of the plot will be used to grow lettuce?

Express the following numbers in decimal system, where the subscript indicates the base: 110101 (SUBINDEX=2)

[(36,000,000)(0.000003)^2]divided(0.00000006)

Consider numbers from 1 to 2023. We delete 3 consecutive numbers so, that the avarage of the left numbers is a whole number

The durability of a tire of a certain brand is a Normal random variable with an average of 64,000 km and a standard deviation of 9,000 km. Assuming independence between tires, what is the probability that the 4 tires on a car will last more than 58,000 km?

reduce the expression (7.5x 12)÷0.3

sum of 7a-4b+5c, -7a+4b-6c

3+7

The question is using rule 72 determine Kari wants to save 10,000 for a down payment on a house. Illustrate the difference in years it will take her to double her current 5,000 savings based on 6%, 12% and 18% interest rate .

At the dance there are 150 boys the rest are girls. If 65% are girls what is the total amount in the room

X~N(2.6,1.44). find the P(X<3.1)

The probability of growing a seedling from a seed is 0.62. How many seeds do I need to plant so that the probability of growing at least one seedling is greater than or equal to 0.87?

Buffalo Company makes and sells shampoo. Each unit requires $1.40 labor costs, material costs per unit are $0.90 and other variable costs are $0.30. It sells shampoo for $4.45 to retailers. Fixed costs are $15,000. It sold 25,000 units in the current month. What is the Break-Even point in units? What is the Break-Even point in dollars? What is the contribution margin of Buffalo Company?

2.380× (1+0.05) / 0.95−0.05

The volume of a cube decreases at a rate of 10 m3/s. Find the rate at which the side of the cube changes when the side of the cube is 2 m.

Calculate the area of the parallelogram with adjacent vertices (1,4, −2), (−3,1,6) 𝑦 (1, −2,3)

Find the equation of a straight line that has slope 3 and passes through the point of (1, 7) . Write the equation of the line in general forms

there are 500,000 bacteria at the end of a pin point. 1000 bacteria can make a person sick. then bacteria at the tip of a pin point can make 500 people sick. Also, many people do not know that bacteria can (reproduce). Let's say there are 5 bacteria and we leave it for 15 minutes. bacteria will multiply to 10. if left for up to 30 minutes, 20 bacteria will form. if left up to 45 minutes. bacteria will multiply up to 40. every 15 minutes the bacteria will double 2. if you start with five bacteria that reproduce every 15 minutes, how manu bacteria would you have after 12 hours ?

Calculate NPV, IRR and PAYBACK through a cash flow for a period of five years, with discount rate of: a) 10% b) 12% c) 15% initial annual cost $41,400,000

Identify the slope and y intercept y=11+2/3x

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

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

You might be interested in