3 years ago

Find the value of x²+y² if x+y=9 xy=14

Mathematics

1 answer:

vekshin13 years ago

8 0

Step-by-step explanation:

It's a system of equations.

From the first one we isolate x:

x = 9-y

And we substitute in the second one:

(9-y)y = 14

-y^2 + 9y - 14 = 0

y^2 - 9y + 14 = 0

D = 25

y1/2 = (9 +- 5)/2 = 2 or 7

y = 2 => x = 7

y = 7 => x = 2

x^2 + y^2 = 7^2 + 2^2 = 53

You might be interested in

Find the midpoint of a and b when a has coordinates (-5,3) and b has coordinates (3,-1)

azamat

To find the x coordinate of the midpoint, add the x coordinates and divide by 2
(-5+3)/2 = -2/2 = -1
To find the y coordinate of the midpoint, add the y coordinates and divide by 2
(3+-1)/2 = 2/2 = 1
(-1,1)

6 0

2 years ago

Read 2 more answers

Circumference and area of 7ft

nikdorinn [45]

Circumference: 21.991 feet
Area: 38.485 feet

5 0

2 years ago

Mr.Martinez rents a car for one day.The charge is $36 plus $0.18 per mile.Mr.Martinez has a budget $60.How many miles can he dri

kondor19780726 [428]

1... the wording is a little confusing.
Is the charge $0.18 per mile or is it actually $36.18 per mile?

8 0

3 years ago

Paul started work at company b ten years ago at the salary of 30,000 starting year and 2400 for yearly salary increase at the sa

Cloud [144]

Sharla, earned 2,000 more than Paul

6 0

3 years ago

Convert 2x-y=-7 into slop-intercept form

kykrilka [37]

I believe the answer is y=2x+7

7 0

2 years ago

Read 2 more answers

Find the value of x²+y² if x+y=9 xy=14​

Find the value of x²+y² if x+y=9 xy=14