# The difference of squares of 2 numbers is 180 the squares of the smaller number is 8 times the larger number find the 2 numbers

2
by denny1999

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by denny1999

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Certified answers contain reliable, trustworthy information vouched for by a hand-picked team of experts. Brainly has millions of high quality answers, all of them carefully moderated by our most trusted community members, but certified answers are the finest of the finest.

A²-B²=180

B²=8A

A²-8A-180=0

A²-10A+18A-180=0

A[A-10]+18[A+10]=0

[A+18][A-10]=0

either A=-10 OR 18 [BUT IT CANT BE NEGATIVE AS IT IS SQUARE NUMBER]

SO A=18

B=√8×18

B=12

B²=8A

A²-8A-180=0

A²-10A+18A-180=0

A[A-10]+18[A+10]=0

[A+18][A-10]=0

either A=-10 OR 18 [BUT IT CANT BE NEGATIVE AS IT IS SQUARE NUMBER]

SO A=18

B=√8×18

B=12