Quadratic EquationHard
Question
The value of ′a′ for which one root of the quadratic equation
(a2 - 5a + 3) x2 + (3a - 1) x + 2 = 0 is twice as large as the other, is
(a2 - 5a + 3) x2 + (3a - 1) x + 2 = 0 is twice as large as the other, is
Options
A.

B.

C.

D.

Solution
β = 2α
3α =
2α 2 =
⇒ a =
Hence, (A) is the correct answer
3α =

2α 2 =
⇒ a =

Hence, (A) is the correct answer
Create a free account to view solution
View Solution FreeMore Quadratic Equation Questions
The quadratic equation p(x) = 0 with real coefficients has purely imaginary roots. Then the equation p(p(x)) = 0 has...The roots of the equation x2 − x − 3 = 0 are-...If the equation = 1 has roots equal in magnitude but opposite in sign, then the value of a + b is -...If the roots of x2 − 4x − log2a = 0 are real, then-...If α and β be the roots of the equation 2x2 + 2 (a + b) x + a2 + b2 = 0, then the equation whose roots are (&#...