IDNStudy.com, ang iyong mapagkukunan para sa mga sagot ng eksperto at komunidad. Ang aming mga eksperto ay nagbibigay ng mabilis at eksaktong sagot upang tulungan kang maunawaan at malutas ang anumang problema.
12
Step-by-step explanation:
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.
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