Question

26) The difference of squares of two natural numbers is 180. The square of the smaller number
is 8 times the larger number. Find the two numbers.
দুটা স্বাভাৱিক সংখ্যাৰ বৰ্গৰ বিয়ােগফল 180. সৰু সংখ্যাটোৰ বৰ্গ ডাঙৰটোৰ ৪ গুণ হলে, সংখ্যা দুটা নির্ণয় কৰা।
Contd.
,
4​

Answer 1

Answer:

x= 14.3427

y = 5.07

Step-by-step explanation:

x^2 - y^2 = 180 --------1

x^2 = 8*y^2--------------2

Substituting the second in equation 1

7y^2 = 180

y^2 = 180/7 = 25.71428

y = 5.07

using Equation 2

x^2 = 8*y^2

x^2 = 8*180/7

x^2 = 205.71428

x= 14.3427