The positive number whose square is more then 3 will be x=2.3
What is positive number?
Positive number is defined as the number which falls in a positive quadrant.To find out the number we will form a equation according to the question.
It is given in the question that a positive number whose square is 3 more then itself.
Suppose the number is x so according to question.
[tex]x^2=x+3[/tex]
[tex]x^2-x-3=0[/tex]
Now by solving the quadratic equation from the formula.
[tex]x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]
[tex]x=\dfrac{-(-1)\pm\sqrt{(-1^2)-4\times 1\times-3)}}{2}[/tex]
x=2.3 and x=-1.6
Here the positive number whose square is more then 3 will be x=2.3
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