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 where we have K squared minus 361 is equal to zero. So to solve this equation, we need to solve for the variable K, which means we need to get K completely alone on one side of the equation. So we can begin by adding 361 to both sides of the equation. And so we have K squared is equal to 361. And now we need to get rid of the square four K. And this means that we just need to take the square root of both sides. So we have K is equal to the square root of 361. Well, taking a look at the value underneath the square root again, we have 361. While rewriting this value as a square, we will have the quantity of 19 square. But we also know that we can square the quantity of -19 and also get the same value of 361. So since we are inputting this square root, we know that K can be plus or minus this Square root of the quantity of 19 squared because again, 19 can be both positive and negative. So we see that K can be both plus or -19. And this leaves us with two answers here, positive and negative 19 which is 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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