Equation Questions Practice Question and Answer

Q:

If  $$  \left( x^2+{1\over x^2} \right)- \left( x - {1\over 4} \right)- 7 =0 $$ then two value of x are :

921 0

  • 1
    1, 2
    Correct
    Wrong
  • 2
    $$ 2, -{1\over 2} $$
    Correct
    Wrong
  • 3
    0, 1
    Correct
    Wrong
  • 4
    $$ {1\over 2} , 1 $$
    Correct
    Wrong
  • Show AnswerHide Answer
  • Workspace

Answer : 2. "$$ 2, -{1\over 2} $$"

Q:

In solving a problem, one student makes a mistake in the coefficient of the first degree term and obtains – 9 and – 1 for the roots. Another student makes a mistake in the constant term of the equation and obtains 8 and 2 for the roots. The correct equation was 

2697 0

  • 1
    x2 + 10x + 9 = 0
    Correct
    Wrong
  • 2
    x2 – 10x = 16 = 0
    Correct
    Wrong
  • 3
    x2 – 10x + 9 = 0
    Correct
    Wrong
  • 4
    None of these
    Correct
    Wrong
  • Show AnswerHide Answer
  • Workspace

Answer : 3. "x2 – 10x + 9 = 0"

  • Show AnswerHide Answer
  • Workspace

Answer : 4. "D"

Q:

If the difference between the roots of the equation Ax2+BX+C = 0 is 4, then which of the following is TRUE?

1653 0

  • 1
    $$B^2 - 16A^2 = 4AC + 4B^2 $$
    Correct
    Wrong
  • 2
    $$B^2 - 10A^2 = 4AC + 6A^2$$
    Correct
    Wrong
  • 3
    $$B^2 - 8A^2 = 4AC + 10A^2 $$
    Correct
    Wrong
  • 4
    $$B^2 - 16A^2 = 4A^C + 8B^2$$
    Correct
    Wrong
  • Show AnswerHide Answer
  • Workspace

Answer : 2. "$$B^2 - 10A^2 = 4AC + 6A^2$$"

Q:

If one root of the equation Ax2+Bx+C = 0 is two and a half times the others, then which of the following is TRUE? 

977 0

  • 1
    $$7B^2= 3 CA $$
    Correct
    Wrong
  • 2
    $$7B^2 = 4 CA$$
    Correct
    Wrong
  • 3
    $$7B^2 = 36 CA $$
    Correct
    Wrong
  • 4
    $$10B^2 = 49 CA $$
    Correct
    Wrong
  • Show AnswerHide Answer
  • Workspace

Answer : 4. "$$10B^2 = 49 CA $$"

Q:

If α and β are the roots of equation x2 - 2x + 4 - 0, then what is the equation whose roots are α32 and β32?

1939 0

  • 1
    $$x^2 - 4x + 8 = 0 $$
    Correct
    Wrong
  • 2
    $$x^2 - 32x + 4 = 0 $$
    Correct
    Wrong
  • 3
    $$x^2 - 2x + 4 = 0 $$
    Correct
    Wrong
  • 4
    $$x^2 - 16x + 4 = 0 $$
    Correct
    Wrong
  • Show AnswerHide Answer
  • Workspace

Answer : 3. "$$x^2 - 2x + 4 = 0 $$"

Q:

What are the roots of the equation log10(x2-6x+45) =2?

1397 0

  • 1
    9, - 5
    Correct
    Wrong
  • 2
    -9, 5
    Correct
    Wrong
  • 3
    11, -5
    Correct
    Wrong
  • 4
    -11, 5
    Correct
    Wrong
  • Show AnswerHide Answer
  • Workspace

Answer : 3. "11, -5"

  • Show AnswerHide Answer
  • Workspace

Answer : 1. "A"

      Report Error

    Please Enter Message
    Error Reported Successfully

      Report Error

    Please Enter Message
    Error Reported Successfully

      Report Error

    Please Enter Message
    Error Reported Successfully

      Report Error

    Please Enter Message
    Error Reported Successfully

      Report Error

    Please Enter Message
    Error Reported Successfully

      Report Error

    Please Enter Message
    Error Reported Successfully

      Report Error

    Please Enter Message
    Error Reported Successfully

      Report Error

    Please Enter Message
    Error Reported Successfully