CRE 1 - Solving Quadratic Equations | Algebra - Quadratic Equations

Which of the following is a quadratic equation?

• (a)

  x^1/2 + 3x + 5 = 0

• (b)

  (x – 2)(x + 5) = x² + 4

• (c)

  x⁴ – 4x + 6 = 0

• (d)

  (x + 3)(2x – 1) = x² + 7

• Solution
• Discuss
• Report

Solve: 2x² – 3x – 2 = 0

• (a)

  -1/2, 2

• (b)

  1/2, 2

• (c)

  1/2, 2/3

• (d)

  None of these

• Solution
• Discuss
• Report

If 3p² – 7pq + 2q² = 0, then the value of p : q is

• (a)

  3 : 2

• (b)

  1 : 3 or 2

• (c)

  3 : 1 or 1 : 2

• (d)

  5 : 6 or 1

• Solution
• Discuss
• Report

Father’s age is 3 more than four times the age of his son and the product of their ages is 162. Find the father’s age.

• (a)

  30 years

• (b)

  27 years

• (c)

  24 years

• (d)

  39 years

• Solution
• Discuss
• Report

The sum of a rational number and its reciprocal is 25/12, find the number.

• (a)

  2/3 or 3/2

• (b)

  3/4 or 4/3

• (c)

  2/5 or 5/2

• (d)

  None of these

• Solution
• Discuss
• Report

$\sqrt{12+\sqrt{12+\sqrt{12+\dots }}}$ = ?

• (a)

  3.5

• (b)

  4

• (c)

  -3

• (d)

  More than one of the above

• Solution
• Discuss
• Report

What is the value of $\sqrt{3\sqrt{3\sqrt{3\sqrt{3\dots \infty }}}}$?

• (a)

  3

• (b)

  √3

• (c)

  1

• (d)

  3^1/3

• Solution
• Discuss
• Report

The sum of two numbers a and b is 9 and the sum of their reciprocals is 1/2. Then the numbers are

• (a)

  4, 8

• (b)

  6, 12

• (c)

  3, 9

• (d)

  6, 3

• Solution
• Discuss
• Report