Mathematics
Grade10
Easy

Question

Find the solutions of equation x squared equals 45.

  1. x equals space plus 3 √ 5 comma x equals space minus space 3 √ 5
  2. x equals space plus 5 √ 3 comma x equals space minus space 3 √ 5
  3. x equals space plus 3 √ 5 comma x equals space minus space 5 √ 5
  4. x equals space plus 5 √ 5 comma x equals space minus space 3 √ 3

The correct answer is: x equals space plus 3 √ 5 comma x equals space minus space 3 √ 5


    x squared equals 45
    Taking square root on both the sides of the equation, we get
    √ left parenthesis x squared right parenthesis equals plus-or-minus √ 45
    x equals plus-or-minus √ 5 space √ 9
    x equals plus-or-minus 3 √ 5

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