Question

the difference of squares of two number is 180.the square of the smaller number is 8 times the larger number. find the two number
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Answer 1

Answer:

2√5

lets suppose the two no. be x and y

so according to 1st line of que. we get equation

X^2+Y^2=180 -eqn(1)

next lets say x to be smaller no. and y to be larger

that according to next line X^2=8Y^2 -eqn(2)

so we put value of X^2 in equation 1

we get 9Y^2 =180

Y^2=180/9

Y^2=20

Y =√20

=4√5

accordingly we get X=4√10

Answer 2

hence the numbers are 18,12,-18 ans-12

thi is explain in above picture