Question

write the nature of roots of the quadratic equation 2x2-5x+6=0

Answer 1

Imaginary roots cz b²-4ac<0

Answer 2

b2-4ac=5*5-4*2*6=-23

b2 - 4ac < 0

When a, b and c are real numbers, a ≠ 0 and discriminant is negative , then the roots α and β of the quadratic equation ax2 + bx + c = 0 are unequal and imaginary. Here the roots α and β are a pair of the complex conjugates.