This practice GRE Algebra test includes only quadratic equation questions, which are part of the GRE Problem Solving section.
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The condition that a root of the equation may be reciprocal to a root of is
A.
B.
C.
D.
E. None
The roots of the equation are real and equal if
A. a + b + c = 0
B. a > b > c
C. a < b < c
D. a = b = c
If pr = 2(q + s) then among the equations and
A. At least one has real roots
B. Both have real roots
C. At least one has imaginary roots
D. Both have imaginary roots
The roots of the equation are
A. Real
B. Real and distinct
C. Imaginary
D. Real and equal
If are the roots of and are the roots of , then the value of is
A. -2b
B. a+b
C. a-b
D. 2b
The harmonic mean of the roots of the equation , is
A. 2
B. 4
C. 6
D. 8
The condition that the roots of are reciprocal to each other is
A. a+b=0
B. b=0
C. a-b=0
D. a=0
If the equations and have common roots, then the value of k is
A. 1
B. -2
C. -1
D. 3
The expression is positive for all real values of x, then
A. a=3
B. a>3
C. a>1
D. ‘a’ can be any real number
If x is real and , then x lies in the interval
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