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The number of real roots of the polynomi...

The number of real roots of the polynomial equation `x^(4)-x^(2)+2x-1=0` is

A

0

B

2

C

3

D

4

Text Solution

Verified by Experts

The correct Answer is:
B
`x^(4)-x^(2)+2x-1=0`
`X^(2)-(xx-1)^(2)=0`
`rArr(x^(2)+x-1)(x^(2)-x+1)=0`
`x^(2)+x-1=0` has two real roots.
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KVPY PREVIOUS YEAR-KVPY-Part 1 Mathematics
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  2. The number of real roots of the polynomial equation x^(4)-x^(2)+2x-1=0...

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  10. Let x(0), y(0) be fixed real numbers such that x(0)^(2)+y(0)^(2)gt1. I...

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  11. Let PQR be a triangle which PQ = 3. Form the vertex R, draw the altitu...

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  13. Lets be the sum of the digits of the number 15^(2)xx5^(18) in base 10....

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  14. Let PQR be am acute-angled triangle in which PQ lt QR. From the vertex...

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  15. All the vertices of a rectangle are of the form (a, b) with a, b integ...

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  16. Let r be a root of the equation x^(2)+2x+6=0. The value of (r+2)(r+3)(...

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  17. Let R be the set of all real numbers and let f be a function from R to...

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  18. The sum of all positive integers n for which (1^3+2^3+....(2n)^3)/(1^2...

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  19. Let x and y be two 2-digit numbers such that y is obtained by recersin...

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