SOLUTION: x^(2)=-75 where x is a real number, solve with the quadratic formula

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Question 1085503: x^(2)=-75 where x is a real number, solve with the quadratic formula
Found 2 solutions by Fombitz, ikleyn:
Answer by Fombitz(32388)   (Show Source): You can put this solution on YOUR website!

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Since the value under the square root is negative, there are no real roots to this equation only complex ones.

Answer by ikleyn(52778)   (Show Source): You can put this solution on YOUR website!
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There is NO real solutions.


Because the square of a real number is always POSITIVE (non-negative) number.


But if you want to apply the quadratic formula, then first calculate the discriminant of the equivalent quadratic equation 

in standard form:

 = 0.      (  = 0 )


The discriminant is equal to 

d =  =  = -300.


The disciminant is negative, which says that the equation HAS NO real solutions.


On solving quadratic equations see the lessons
    - Introduction into Quadratic Equations
    - PROOF of quadratic formula by completing the square
    - HOW TO solve quadratic equation by completing the square - Learning by examples
    - Solving quadratic equations without quadratic formula
    - Who is who in quadratic equations

Also, you have this free of charge online textbook in ALGEBRA-I in this site
    - ALGEBRA-I - YOUR ONLINE TEXTBOOK.

The referred lessons are the part of this textbook under the topic "Quadratic equations".


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