what are the solutions to the equation 2x^2=18
the possible answers are A. 2 solutions +/-9 B. 2 solutions +/-3 C. 2 solutions +/-√3 D. No solutions.
i am completely and utterly lost so if someone could help me just like figure out what to do with the equation itd be great
Well, well, well, looks like we have ourselves a quadratic equation conundrum. Don't you worry, my friend, I'll help you out with a sprinkle of humor!
Now, let's solve 2x^2 = 18, shall we? The first step is to divide both sides of the equation by 2. That gives us x^2 = 9. Are you still with me?
To find the solutions, we need to take the square root of both sides. It's like giving the equation a spa treatment, but with numbers. So, √(x^2) = √9.
But here comes the funny part! The square root of 9 can be both positive and negative, just like an unpredictable prankster. So, we have two possible solutions: x = 3 and x = -3.
Voilà! The answer is B. 2 solutions +/- 3. You did great sticking through it, my friend. Math may have its twists and turns, but with a little humor, even the toughest equations can't resist being solved!
To solve the equation 2x^2 = 18, we need to isolate the variable x.
Step 1: Divide both sides of the equation by 2 to get x^2 = 9.
Step 2: Take the square root of both sides. Remember to consider both the positive and negative square roots.
√(x^2) = √9
So, x = ±3
Therefore, the solutions to the equation 2x^2 = 18 are 2 solutions ±3.
Hence, the correct answer is B. 2 solutions ±3.
To find the solutions to the equation 2x^2 = 18, you need to solve for x. Here's how to go about it:
Step 1: Start with the given equation: 2x^2 = 18.
Step 2: Divide both sides of the equation by 2 to isolate x^2: (2x^2)/2 = 18/2.
Simplifying, we get: x^2 = 9.
Step 3: Take the square root of both sides of the equation to solve for x: √(x^2) = √9.
This gives you two possibilities for the square root: x = ±3.
Therefore, the solutions to the equation 2x^2 = 18 are x = ±3.
Looking at the possible answers listed, you can see that the correct choice is B. 2 solutions ±3.
2 x² = 18
x² = 18 / 2
x² = 9
x = ± √9
x = ± 3
The solutions are:
x = - 3 and x = 3