Quadratic EquationHard
Question
For the equation 3x2 + px + 3 = 0, p > 0, if one of the root is square ot the other, then p is equal to
Options
A.1/ 3
B.1
C.3
D.2/3
Solution
Let a,a2 be the roots of 3x2 + px + 3 = 0
Now, S = a + a2 = - p / 3
P = a3 = 1
⇒ a = 1, ω, ω2
Now, a + a2 = p / 3
⇒ ω + ω2 = - p /3
⇒ - 1 = - p/3
⇒ P = 3
Now, S = a + a2 = - p / 3
P = a3 = 1
⇒ a = 1, ω, ω2
Now, a + a2 = p / 3
⇒ ω + ω2 = - p /3
⇒ - 1 = - p/3
⇒ P = 3
Create a free account to view solution
View Solution FreeMore Quadratic Equation Questions
If α, β are roots of the equation 2x2 − 35x + 2 = 0, then the value of (2α − 35)3. (2β &...If x is the real, then the value of the expression is -...If x2 − 11 x + a = 0 and x2 − 14 x + 2a = 0 have one common root then a is equal to -...Let f (x) be a quadratic expression which is positive for all real values of x.If g (x) = f(x) + f′(x) + f′&...Given that system of inequalities $x^{2} + 4x + 3 \leq \alpha$ and $x^{2} - 2x \leq 3 - 6\alpha$ have a unique solution,...