Question

If a and b are the roots of the quadratic equation 2x2 + ( 3)x + ( 2) then, maximum possible value of a2 + b2 is

Answer 1

Answer:

If a < 0 then f(x)½max = -D/4a at x = –b/2 ... In such a form of equation 'k' is the value at the vertex. ... Clearly, the function (2x2 + 3x + 6) is a quadratic function with a = 2 > 0 ................