Question

The sum of two number is 17 and the sum of their squares is 157 find the number

Answer 1

the numbers are 11 n 6

Answer 2

Y-9)(Y-8)=0
X+Y=17 OR X=17-Y
X^2+Y^2=145
(17-Y)^2+Y^2=145
289-34Y+Y^2+Y^2=145
2Y^2-34Y+289-145=0
2Y^2-34Y+144=0
2(Y^2-17X+72)=0
2(Y-9)(Y-8)=0
Y-9=0
Y=9 ANSWER FOR THE LARGER NUMBER.
Y=-8=0
Y=8 ANSWER FOR THE SMALLER NUMBER.
PROOF
8^2+9^2=145
64+81=145
145=145