Descartes' Rule
Trending Questions
Q. For the equation
2x4−3x3−x2−3x+2=0,
Which among the following statement(s) is/are correct?
2x4−3x3−x2−3x+2=0,
Which among the following statement(s) is/are correct?
- All roots of the equation are real
- Exactly two roots of the equation are real
- Product of real roots = 1.
- Sum of the real roots = 52
Q. Two sets A and B are given as
A={x |x is an integer root of the equation x5−6x4+11x3−6x2=0}
B={x |x is a real root of the equation ax5+2ax3+2bx2+b=0, a, b∈R such that the given equation have maximum number of real roots.}
Then, which of the following is correct?
A={x |x is an integer root of the equation x5−6x4+11x3−6x2=0}
B={x |x is a real root of the equation ax5+2ax3+2bx2+b=0, a, b∈R such that the given equation have maximum number of real roots.}
Then, which of the following is correct?
- n(A)>n(B)
- n(A)=n(B)
- n(A)<n(B)
- cannot comment because n(A) varries as the values of a and b vary
Q. Two sets A and B are given as
A={x |x is an integer root of the equation x5−6x4+11x3−6x2=0}
B={x |x is a real root of the equation ax5+2ax3+2bx2+b=0, a, b∈R such that the given equation have maximum number of real roots.}
Then, which of the following is correct?
A={x |x is an integer root of the equation x5−6x4+11x3−6x2=0}
B={x |x is a real root of the equation ax5+2ax3+2bx2+b=0, a, b∈R such that the given equation have maximum number of real roots.}
Then, which of the following is correct?
- n(A)>n(B)
- n(A)<n(B)
- n(A)=n(B)
- cannot comment because n(A) varries as the values of a and b vary