QUADRATIC EQUATION PROBLEMS WITH SOLUTIONS
(Part - 3)

Problem 1 :

If the roots of the equation x² + (2p – 1)x + p² = 0 are real, then which of the following is true?

A)  p ≥ 1

B)  p ≤ 4

C)  p ≥ ¼

D)  p ≤ ¼

Solution :

Problem 2 :

If p and q are the roots of x² + 2x + 1 = 0, then what is the value of p³ + q³?

A)  2

B)  –2

C)  4

D)  –4

Solution :

Problem 3 :

If L + M + N = 0 and L, M and N are rationals, then the roots of the equation (M + N – L)x² + (N + L – M)x + (L + M – N) = 0 are

A)  real and irrational

B)  real and rational

C)  imaginary and equal

D)  real and equal

Solution :

Problem 4 :

If p ≠ q and p² = 5p – 3 and q² = 5q – 3, then the equation having roots as p/q and q/p is

A)  x² – 19x + 3 = 0

B)  3x² – 19x – 3 = 0

C)  3x² – 19x + 3 = 0

D)  3x² + 19x + 3 = 0

Solution :

Problem 5 :

If one root of 5x² + 13x + p = 0 be reciprocal of the other, then the value of p is

A)  –5

B)  5

C)  1/5

D)  -1/5

Solution :

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Quadratic Equation Problems with Solutions (Part - 1)

Quadratic Equation Problems with Solutions (Part - 2)

Quadratic Equation Problems with Solutions (Part - 3)

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