The quadratic equation x2 - 6x + a = 0 and x2 - cx + 6 = 0 have one root in common. The other roots of the first and second equations are integers in the ratio 4:3. Then the common root is
1
4
3
2
Find the discriminant of the quadratic equation 5x2 + 12x - 9 = 0
224
324
342
424
If α, β are the roots of the equation ax2 + bx + c = 0, what is the value of ( a α+b) -1 + ( a β + b) -1?
a/bc
b/ ac
-b/ac
-a/bc
If α, β are the roots of the equation x2 + px + q = 0. Find the value of α3β + α β3
q (p2-2q)
P (p2-2q)
q (P -2q)
P (P - 2q)
If α and β are the roots of the quadratic equation ax2 + bx + C = 0, then αβ =
b/a
c/a
-b/a
-c/a
If α and β are the roots of the quadratic equation ax2 + bx + c = 0, then α + β=
If α,β are the roots of the . roots of the equation x2 - 2x - 1 = 0 then what is the value of α2.β-2 + α-2.β2?
-2
0
30
34
Find the value of k for which the equation 4x2 - 12x + k = 0 has equal roots
8
6
7
9
If the equation 2x2 + 3x + k = 0 has only one solution then k = ______________
-9/8
9/8
If α and β are the roots of an equation, then the equation is
x2 - ( α+β) x + α β = 0
x2 + ( α+β) x + α β = 0
x2 + ( α-β) x + α β = 0