1. The roots of the equation 2x^2 + kx + 5 = 0 are ∝ and β where k is a constant and if ∝^2+ β^2 = −1, find the value of k
A. ±16
B. ±8
C. ±4
D. ±2
2. Given that ∝ and β are the roots of an equation such that ∝ +β = 3 and αβ =
2, Find the equation
A. x^2 − 3x + 2 = 0
B. x^2 − 2x + 3 = 0
C. x^2 − 3x − 2 = 0
D. x^2 − 2x − 3 = 0
3. If the equation x^2 − x + p = 0 has coincidental roots, find the value of P
A. −1/2
B. 1/4
C. 1/2
D. 1
4. Find without necessarily solving the equation, the nature of the roots of the
equation 3x^2 − x + 3 = 0
A. Distinct two roots.
B. Complex roots
C. Coincident real roots
D. None
5. Find the sum of the equation in 20^2 − 40 = 120
A. 2
B. -2
C. 4
D. -4