1.

The difference of squares of two numbers is 180. The square of the smaller number is 8 times the larger number. Find the two numbers.Irrelevant answers will be reported...​

Answer»

Answer:

We have,

Let the large NUMBER is =x

Square of smaller number is =8x

Now, According to GIVEN QUESTION,

x

2

−8x=180

⇒x

2

−8x−180=0

⇒x

2

−(18−10)x−180=0

⇒x

2

−18x+10x−180=0

⇒x(x−18)+10(x−18)=0

⇒(x−18)(x+10)=0

⇒x−18=0,x+10=0

⇒x=18,x=−10

⇒x=−10,18

Either

x=−10 and x=18

x=18 is true (Positive value)

Now, square of small number

=18x=18×8=144

144

=12

Hence, this is the answer.

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