If, α and β are the roots of the equation 2x^2 – 3x – 6 = 0, then what is the equation whose roots are α^2 + 2 and β^2 + 2?
(a) 4x^2 + 49x + 118 =0
(b) 4x^2 – 49x + 118 =0
(c) 4x^2 – 49x – 118 =0
(d) x^2 – 49x + 118 =0
The question was posed to me in a national level competition.
My doubt is from Quadratic Equations in division Complex Numbers and Quadratic Equations of Mathematics – Class 11