Question

The difference of square of two numbers is 180 the square of smaller number is 8 times the larger number find the two numbers

Answer 1

Answer:

18 and 12

Step-by-step explanation:

solution is in the attachment

Answer 2

Answer:

We have,

Let the large number is =x

Square of smaller number is =8x

Now, According to given question,

x2−8x=180

⇒x2−8x−180=0

⇒x2−(18−10)x−180=0

⇒x2−18x+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