Question

the difference of the two nubers,s square is 180 and the bigger number,s square is 8times of the smaller number,s square.find the numbers​

Answer 1

Let the larger number be x.

Square of larger number = x²

Then the square of smaller number = 8 times the larger number = 8x

ATQ,

x² - 8x = 180

x² - 8x - 180 = 0

By factorisation,

x² - 18x + 10x - 180 = 0

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

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

x - 18 = 0 or x + 10 = 0

x = 18 or x = -10

Taking x = 18 we get,

Larger number = x = 18

ѕmαllєr numвєr = √(8x) = √(8×18) =√144 = 12

Taking x = -10

Larger number = -10

Smaller number. = √(8x) = √(8×-10) = √-80

Not possible .

Hence the two numbers are 18 and 12..

Answer 2

Answer:

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