Step-by-step explanation:
step 1: note down the given quadratic equation and compare it with the standard form ax2 + bx + c
so from the equation given
a = 1
b = k -3
c = 3-2k
step 2: look at the hints given in the question and according to the hints choose the discrimination (b2- 4ac) of the equation
1) b2 - 4ac > 0 (positive), there are 2 real solutions
2) b2 - 4ac = 0 (zero), there is one real solution
3) b2 - 4ac < 0 (negative) , there are 2 complex solutions or no real roots
step 3
substitute the values of a,b and c in the suitable discrimination i.e b2 - 4ac > 0
(k-3)2 - 4(1)(3-2k) > 0
(k2 + 9) - (12-8k) > 0
k2 + 9 - 12 + 8k
k2 - 3 + 8k
that is k2 + 8k - 3
a) K does not satisfy the equation
