MyQuestionIcon

1

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Properties of Determinants

If x4+ax3+bx2...

Question

If x4+ax3+bx2+cx+1=0 has real roots where a,b,c are negative then min(a+b+c) is equal to

Open in App

Solution

Suggest Corrections

thumbs-up

0

Similar questions

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

has real roots (

a, b, c a, b, c

are non-negative). Maximum real value of

c

1, 2, 3

and 4 are the roots of the equations

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

a + 2 b + c

Q. If x = 1 is a root of equation

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

repeated thrice, then (a + b + 2c) is equal to

Q. The polynomial f(x)

= x^{4} + a x^{3} + b x^{2} + c x + d

has real coefficients and f

(2 i) = f (2 + i) = 0

(a + b + c + d)

x = \sqrt{2} + \sqrt{3} + \sqrt{6}

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

a, b, c, d

are integers, what is the value of

| a + b + c + d |

View More

Join BYJU'S Learning Program

similar_icon

Related Videos

lock

Properties

MATHEMATICS

Watch in App

explore_more_icon

Explore more

Properties of Determinants

Standard XII Mathematics

Join BYJU'S Learning Program

CrossIcon