Mathematics
Grade10
Easy

Question

Find the solutions for the equation x squared plus 6 x minus 9 equals 0.

  1. 3 plus-or-minus 3 square root of 2
  2. negative 3 plus-or-minus 3 square root of 2
  3. negative 1 plus-or-minus 3 square root of 2
  4. 1 plus-or-minus 3 square root of 2

hintHint:

In this question, we have to find the solutions for the equation x squared plus 6 x minus 9 equals 0. Firstly, we will start with completing the square of the given equation, for that we will add 9 on both the sides. Then we will take sqaure root on both the side, the values of the x will be required solution.

The correct answer is: negative 3 plus-or-minus 3 square root of 2


    table attributes columnspacing 1em end attributes row cell x squared plus 6 x minus 9 equals 0 end cell row cell x squared plus 6 x equals 9 end cell end table
    Add ‘9’ on both the sides
    table attributes columnspacing 1em end attributes row cell x squared plus 6 x plus 9 equals 9 plus 9 end cell row cell left parenthesis x plus 3 right parenthesis squared equals 18 end cell end table
    Taking square root on both the sides
    table attributes columnspacing 1em end attributes row cell square root of left parenthesis x plus 3 right parenthesis squared end root equals plus-or-minus square root of 18 end cell row cell x plus 3 equals plus-or-minus 3 square root of 2 end cell row cell x equals negative 3 plus-or-minus 3 square root of 2 end cell end table

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