Mathematics
Grade10
Easy

Question

Find the solution of quadratic equation 6 x squared minus 13 equals 23 using square roots.

  1. x equals plus-or-minus √ 13
  2. x equals plus-or-minus √ left parenthesis 13 divided by 2 right parenthesis
  3. x equals plus-or-minus √ 6
  4. x equals plus-or-minus √ left parenthesis 5 divided by 3 right parenthesis

The correct answer is: x equals plus-or-minus √ 6


    6 x squared minus 13 equals 23
    Adding 13 on both the sides,
    6 x squared minus 13 plus 13 equals 23 plus 13
    6 x squared equals 23 plus 13
    6 x squared equals 39
    x squared equals 39 divided by 6
    x squared equals 13 divided by 2
    Taking square root on both the sides of the equation, we get
    √ left parenthesis x squared right parenthesis equals plus-or-minus √ left parenthesis 13 divided by 2 right parenthesis
    x equals plus-or-minus √ left parenthesis 13 divided by 2 right parenthesis

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