SOLUTION: What are the zeros of y=-4x^2-5

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Question 1036665: What are the zeros of y=-4x^2-5
Answer by ikleyn(52776) About Me  (Show Source):
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What are the zeros of y=-4x^2-5
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The zeros of y=-4x^2-5 are the roots of the quadratic equation


-4x%5E2-5 = 0.


They are the same as the roots of this quadratic equation


4x%5E2+%2B5 = 0,   or  this  x%5E2 = -5%2F4.


These equations have no real roots. 
They have complex roots. They are


x%5B1%5D = i%2A%28sqrt%285%29%2F2%29  and   x%5B1%5D = -i%2A%28sqrt%285%29%2F2%29.

Here  "i"  is an "imaginary" unit  i = sqrt%28-1%29.