How do you find the discriminant and how many solutions does #x^2 + 25 = 0# have?

1 Answer
May 24, 2015

This equation has no solutions.

We can see it in three ways:

  1. it a sum of a quantity (#x^2#) that is positive or zero and a quantity (#25#) positive, so it could never be zero;
  2. if you write the equation in this way: #x^2=-25#, you can see that a quantity positive or zero could never be negative;
  3. if you find the discriminator #Delta=b^2-4ac=0^2-4*1*25=-100<0#, so the equation is impossible.