Mathematics
Grade10
Easy

Question

Find the solution of quadratic equation x squared minus 10 equals 54 using square roots.

  1. x equals plus-or-minus 8
  2. x equals plus-or-minus √ 2
  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 8


    8 x squared minus 10 equals 54
    Adding 10 on both the sides,
    8 x squared minus 10 plus 10 equals 54 plus 10
    8 x squared equals 64
    x squared equals 64 divided by 8
    x squared equals 8
    Taking square root on both the sides of the equation, we get
    √ left parenthesis x squared right parenthesis equals plus-or-minus √ 8
    x equals plus-or-minus 2 √ 2

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