First slide

Theory of equations

Question

$Let a, b and c he real numbers such that 4 a + 2 b + c = 0 and a b > 0 . Then the equation a x^{2} + b x + c = 0 has$

Moderate

A

complex roots
B

exactly one root
C

real roots
D

None of these

Solution

$Clearly, x = 2 is a root of the equation and imaginary roots$
$always occur in pairs, therefore another root is also real.$

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