Home
Class 12
MATHS
Suppose x^(2)+bx+c{b is an odd integer ...

Suppose `x^(2)+bx+c`{b is an odd integer and ` c in Z`} has two prime natural numbers as its roots . Then `|2b+c|=`

Text Solution

Verified by Experts

The correct Answer is:
4
Promotional Banner

Similar Questions

Explore conceptually related problems

Let f(x)=x^2-bx+c,b is an odd positive integer. Given that f(x)=0 has two prime numbers as roots and b+c=35. If the least value of f(x) AA x in R" is "lambda," then "[|lambda/3|] is equal to (where [.] denotes greatest integer function)

Let f(x)=x^(2)-bx+c, b is a odd positive integer,f(x)=0 have two prime numbers as roots and b+c=35 Then the global minimum value of f(x) is

A quadratic equation with integral coefficients has two different prime numbers as its roots. If the sum of the coefficients of the equation is prime,then the sum of the roots is 2 b.5 c.7 d.11

If ax^(2)+bx+c=0 has alpha as its roots and -ax^(2)+bx+c=0 has beta as its roots then (a)/(2)x^(2)+bx+c has a

If ax^(2)+bx+c=0 has imaginary roots and a,b,c in Rsuch that a+4c<2b then

The trinomial ax^(2)+bx+c has no real roots a+b+c<0. Find the sign of the number c.

If ax^(2)+bx+c = 0 has no real roots and a, b, c in R such that a + c gt 0 , then

If A= {x : x is a natural number}, B = {x : x is an even natural number} C = {x : x is an odd natural number} and D = {x : x is a prime number }, find (i) A nnB (ii) A nnC (iii) A nnD (iv) B nnC (v) B nnD (vi) C nnD

If a,b,c are positive real number such that (a)/(2b-c)=(2b)/(3a+c)=(a)/(b) can be expressed as fraction of relatively prime natural numbers this fraction is: this fraction is: