SOLUTION: Please help me solve this equation: {{{x^2-2x-3=sqrt(4) }}}

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Question 1209352: Please help me solve this equation: x%5E2-2x-3=sqrt%284%29+
Answer by ikleyn(52780) About Me  (Show Source):
You can put this solution on YOUR website!
.

Notice that sqrt%284%29 = 2.


Then equation takes the form

    x^2 - 2x - 3 = 2.


Simplify it to

    x^2 - 2x - 5 = 0.


Now apply  the quadratic formula

    x%5B1%2C2%5D = %282+%2B-+sqrt%282%5E2+-+4%2A1%2A%28-5%29%29%29%2F2 = %282+%2B-+sqrt%2824%29%29%2F5.


There are two roots  %282+%2B+sqrt%2824%29%29%2F5  and  %282+-+sqrt%2824%29%29%2F5.



Now you can solve by similar way for the case  sqrt%284%29 = -2.

Happy calculations !