SOLUTION: Two numbers are in the ratio 2:3. If the sum of their squares is 2925, find these numbers
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Question 1040665
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Two numbers are in the ratio 2:3. If the sum of their squares is 2925, find these numbers
Answer by
Boreal(15235)
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4x^2+9x^2=2925
13x^2=2925
x^2=225
x=15 or -15
2x is 30 or -30
3x is 45 or -45
30^2=900
45^2=2025
They add to 2925
Also,(-300^2=900
and (-45^2)=2025
so they also are solutions
30:35
and -30:-45