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 = -25

Accepted Answer

Hey, everyone here we are asked to find the solutions to the following equation where we have eight squared is equal to negative 256. So all we have to do to solve this equation is to isolate the variable H which means we need to get rid of this squared term for H and so all we have to do to get rid of the square is take the square root of both sides. And now we want to take a close closer look at the right hand side at the value underneath the root, which we have negative 256 when we first want to rewrite this value by factoring out the negative one. So we have the quantity of negative one times 256. And now we just want to rewrite 256 as a square term. So we have the quantity of negative one times the quantity of 16 squared. While it's important to note here that 16 can be both positive and negative because negative 16 squared and positive squared, both return positive 256. So now with this rewritten form of negative we want to rewrite our original equation. So the square root of H squared is just H. And now for the right hand side, we want to pull out this plus or minus from 16. So we have plus or minus the square root of the quantity of negative one times the quantity of 16 squared. And now we just need to recall that the square root of negative one is equivalent to just I. So simplifying our answer here, we have H is equal to plus or minus. And now the square root of 16 squared is just 16. And then we know that the square root of negative one is I. So our final simplified answer we just have plus or minus 16. I So with this final answer, we are left 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 = -25

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