Question

green
The defference of squares of two natural
members is 180. The square of the smallore
number is 8 times
number,
Find the two
numbers.
the larger​

Answer 1

Answer:

12

Step-by-step explanation:

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.

Answer 2

Solution ==》

☆ Given =》

The difference of square of two natural numbers is 180.

Square of smaller no is 8 time the number

☆ To find =》

Two numbers

☆ Explanation =》

Let the larger no is =x

Square of smaller number =8x

According to 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( neglected)

x= 18

Two numbers are 18 and 8×18=144