QUADRATIC EQUATION PROBLEMS WITH SOLUTIONS
(Part - 2)

Problem 1 :

p(q - r)x² + q(r - q) = 0

If the roots of the quadratic equation above are equal, then show that

Solution :

Problem 2 :

If 2^{2x + 3} – 3 ⋅ 2^x + 1 = 0, then values of x are

A)  0, 1

B)  1, 2

C)  0, 3

D)  0, -3

Solution :

Problem 3 :

A)  1 ± √2

B)  2 + √5

C)  2 ± √5

D)  1 + √2

Solution :

Problem 4 :

ax² + bx + c = 0

If the sum of the roots of the quadratic equation above is equal to sum of the squares of their reciprocals, then find the value of the following expression.

A)  2

B)  -2

C)  1

D)  -1

Solution :

Problem 5 :

x² – (p + 4)x + 2p + 5 = 0

If the roots of the quadratic equation above are equal, then which of the following must be true?

A)   p = ±1

B)   p = ±1

C)   p = ±1

D)   p = ±1

Solution :

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Quadratic Equation Problems with Solutions (Part - 1)

Quadratic Equation Problems with Solutions (Part - 2)

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