Question

a-b=11 ab=24 a^2+b^2=x Find x

Answer 1

Here is the solution :
(a-b)² = a² - 2ab + b²,

According to the question,
(a-b) = 11, and,
(ab) = 24,

Now from the first equation we can write that,
(a-b)² + 2ab = a² + b²,

Substituting the values we know,
=> (11)² + 2*24 = a² + b²,
=> 121 + 48 = a² + b²,
=> a² + b² = 169,

Therefore the value of x is 169,

Hope you understand, Have a great day,
Thanking you, Bunti 360 !