Question

8. From a quadratic equation for the following example:
If the square root of a number is subtracted from the number itself then the
remainder is three fourth of the same number.​

Answer 1

• The quadratic equation formed for the example  is:

                        x² - 16*x = 0

      where x is the number in question

• Lets assume the number is x.
• Then, square root of the number is √x.
• If the square root of the number is subtracted from the number itself then the remainder will be (x - √x)
• Since the  remainder is three fourth of the same number,it is (3/4)*x

   So,

                 (x - √x) = (3/4)*x

  or,           x - (3/4)*x = √x

  or,           (1/4)*x = √x

    Now squaring both sides we get,

•           (x²/16) = x

• Rearranging this we get the final equation:

                          x² - 16*x = 0