Question

6. The sum of two numbers is 16, and the sum of their squares is 146. What are the
two numbers?
at of
Select one
a 4 and 12
b. 14 and 2
C. 6 and 10
d. 7 and 9
e 11 and 5​

Answer 1

Answer:

d.11 and 5

Step-by-step explanation:

sum of 11 and 5

11+5=16

(11)²+(5)²=121+25=146

Answer 2

Answer:

e

Step-by-step explanation:

let the two no. be x and y

x+y=16......eq1

x^2+y^2=146.......eq2

from eq1

x=16-y....eq2

substitute eq3 in eq2

(16-y)^2+y=146

256-32y+y^2+y =146

2y^2-31y+110=0

the roots are 11and 20

20 is discarded

therefore the no. are 11and 5