Match the equation in Column I with its solution(s) in Column II....

Question

Match the equation in Column I with its solution(s) in Column II. x^2 + 5 = 0

Accepted Answer

Hey, everyone here we are asked to find the solutions to the following equation K squared plus 361 is equal to zero. Now, to start finding these solutions to this equation, we need to solve for K. So we first need to subtract 361 from both sides. So we have K squared is equal to negative 361. So now we need to get rid of this square four K. So that means we just need to take the square root of both sides. Well, now we just want to take a closer look at this value underneath the root, which is negative 361 when we can rewrite this value by first factoring out the negative sign. So we have the quantity of negative one times three 161. Now we want to rewrite 361 as a squared term. So we have the quantity of negative one times squared. Well, it's important to note that 19 squared can be both positive and negative because either squared term still returns a positive 361. So with this rewritten expression for negative 361 we can use it to rewrite our equation from earlier. So the square root of K squared gives us K. And now for the right hand side, we need to take out this plus or minus for 19. So we have plus or minus the square root of the quantity of negative one times the quantity of 19 squared. So now we need to recall that the square root of negative one is equivalent to I. So now we just need to simplify our expression. So we have K is equal to plus or minus. Now, the square root of 19 squared is just 19. And we know that the square root of negative one is just I. So we are left with plus or minus 19 I and this is our final simplified answer which leaves us with answer choice. B thanks for watching. I hope you found this video helpful and I'll see you again next time.

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Match the equation in Column I with its solution(s) in Column II. x^2 + 5 = 0

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