Solving Complex Roots: x^2 + 25 = 0

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SUMMARY

The equation x^2 + 25 = 0 has two complex roots, specifically x = 5i and x = -5i. The solution process involves isolating x^2 by moving 25 to the other side, resulting in x^2 = -25. Taking the square root of both sides yields the two complex roots. This discussion confirms the correctness of the solution and clarifies the identification of both roots.

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[SOLVED] Compex roots

Homework Statement


state the number of complex roots of each equation, then find the roots and graph the related function.

x^2 + 25 = 0

Homework Equations





The Attempt at a Solution


x^2 + 25 = 0

so there are 2 complex roots. Once I have established that then I minus the 25 to the other side.

x^2 = -25

square root both sides.

x = +/-5i

I'm pretty sure everything up to this point is correct but the thing I did above I think it is wrong. Firstly because if there are two complex roots and I already have one of them what is the other one. I'm confused, so please help me. thank you.
 
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you have both roots...x=+5i and x=-5i ...it is correct
 

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