If a < b < c < d then the roots of the equation are real and distinct.
a) True
b) False
Your Answer
Let S is the set of all real x, such that is positive, then S contains
a)
b)
c)
d)
The equation has
a) At least one real solution
b) Exactly three real solutions
c) Has exactly one irrational solution
d) Complex roots
Show that square of is a rational number.
Prove if α, β are roots of the equation and γ, δ are roots of then show that
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Solve for x
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Find the set of all x for which
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Solve for x in the following equation
Solve
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Let a, b, c be real numbers with a ≠ 0 and let α, β be roots of the equation . Express the roots of in terms of α, β.
If is the area of a triangle with sides a, b, c then show that . Also show that equality occurs if a = b = c
where a, b ε R then find the value of a for which equation has unequal roots for all values of b.
Let a and b the roots of the equation and those of are c and d, then find the value of a + b + c + d when a ≠ b ≠ c ≠ d.
The equation has an irrational root.
a) False
b) True
If x and y are positive real numbers and m and n are any positive integers then
Fill in the blanks
If is a root of the equation where p and q are real then (p, q) …………
. Express the roots of 
in terms of α, β.
