This question was uploaded on 21/10/21 on social media accounts.
Given that a and b are the roots of a quadratic equation whose both coefficients are prime numbers and also given that a+(a^2)(b^3) is an odd number. Find values of a and b.
Solution:
Given that, a and b are the roots of a quadratic equation:
\[\Rightarrow a+b=p⠀⠀and⠀⠀ab=q\]
\[a+a^2b^3⠀is⠀odd\]
⇒ a is odd and b is even
⇒ ab is even also q is even
Given that q is prime
⇒ q = 2
⇒ b = 2 and a = 1
This also satisfies p is prime (p = 3)
Question related to Algebra, Equation.
