Math, asked by Anonymous, 1 year ago

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answer the ques!!

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Answers

Answered by Anonymous
2
he mate here is your answer the numbers will be x square and y square the larger number will be expired in the smaller number will be why square the equation will be x square minus y square is equal to 180 then it is given that y square equal to a text on putting a text into the equation the equation will be x square - 8 x is equal to 180 now you can solve it
Answered by siddhartharao77
9
Let the two numbers be x and y.

Given that the difference of two square numbers is 180.

x^2 - y^2 = 180  -------- (1)

Given that the square of the smaller number is 8 times the larger number.

y^2 = 8x   --------- (2)

substitute (2) in (1), we get

x^2 - 8x = 180

x^2 - 8x - 180 = 0

x^2 + 10x - 18x - 180 = 0

x(x + 10) - 18(x + 10) = 0

(x + 10)(x - 18) = 0

x = -10,18.

The value of x cannot be negative, so x = 18.

Substitute x = 18 in (1), we get

x^2 - y^2 = 180

18^2 - y^2 = 180

324 - y^2 = 180

-y^2 = 180 - 326

-y^2 = -144

y^2 = 144

y = 12.


Therefore the two numbers are 18 and 12.


Verification:

18^2 - 12^2 = 180

324 - 144 = 180

180 = 180.


Hope this helps!

siddhartharao77: :-)
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siddhartharao77: Thank you Prathima
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