Solving Complex Roots: x^2 + 25 = 0

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The equation x^2 + 25 = 0 has two complex roots, which are x = 5i and x = -5i. The solution process involves moving 25 to the other side to get x^2 = -25 and then taking the square root. The discussion confirms that both roots are correctly identified as complex numbers. The confusion about having one root is clarified, affirming that both roots are indeed present. The solution is accurate and complete.
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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
 

Thread 'Family of lines that are at a distance of 5 from the origin'

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