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

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Answer 1 · 2015-05-24T08:15:58

This equation has no solutions.

We can see it in three ways:

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

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