Question

If the sum of two numbers is 10 and the difference of their cubes is 2 then find two numbers

Answer 1

Step-by-step explanation:

Let two number be a and b,

According to question,we get,

a+b=7

a3+b3=133

Now,

(a+b)3=a3+b3+3ab(a+b)

=>73=133+3ab(7)

=>21343−133=ab

=>ab=21210

=>ab=10

Now,

(a+b)2=a2+b2+2ab

=>72=a2+b2+2(10)

=>a2+b2=49−20

=>a2+b2=29