Answer:
3
Step-by-step explanation:
3 squared is 9. 5 squared is 25. 25 + 9 = 34. 5 + 3 = 8. So the smaller number is 3.
Answer:
Step-by-step explanation:
let the numbers be x,y
x+y=8
y=8-x
x²+y²=34
x²+(8-x)²=34
x²+64+x²-16x=34
2x²-16x+64-34=0
2x²-16x+30=0
x²-8x+15=0
1×15=15
5+3=8
5×3=15
x²-(3+5)x+15=0
x²-3x-5x+15=0
x(x-3)-5(x-3)=0
(x-3)(x-5)=0
either x=3 or 5
if x=3,y=8-3=5
if x=5,y=8-5=3
in either cases numbers are 3,5
and smaller number is 3.
