You visited us 3 times! Enjoying our articles? Unlock Full Access!

Quadratic Equations

If 1, 2, 3 ...

Question

If $1, 2, 3$ are the roots of the equation
$x^{4} + a x^{2} + b x + c = 0$ then the value of $c$ is :

Open in App

Solution

product of roots = $\frac{- c}{1} - c = 1 \times 2 \times 3 c = - 6$

Suggest Corrections

Similar questions

x^{4} - 5 x^{3} + a x^{2} + b x + c = 0

a, b, c

(3 + \sqrt{2})

C

1, 2, 3

x^{3} + a x^{2} + b x + c = 0

(a, b, c) =

α

β

a x^{2} + b x + c = 0

l i m x \to a {[a x^{2} + b x + c + 1]}^{2 / (x - a)}

a x^{2} + 2 (a + b) x + (a + 2 b + c) = 0

a x^{2} + 2 b x + c = 0

x^{4} - 4 x^{3} + a x^{2} + b x + 1 = 0

(a + b)

Join BYJU'S Learning Program