SOLUTION: I have an equation (2x^2)-7=0. The answer I have been given is the square root of 14 over 2. I'm unsure why. Could you walk me through the steps please?

Question 221155: I have an equation (2x^2)-7=0. The answer I have been given is the square root of 14 over 2. I'm unsure why. Could you walk me through the steps please?
Found 4 solutions by stanbon, chibisan, rapaljer, MathTherapy:
Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
(2x^2)-7=0
-----------------------
Add 7 to both sides to get:
(2x^2) = 7
Divide both sides by 2 to get:
x^2 = 7/2
------
Multiply numerator and denominator of the fraction by 2
to get:
x^2 = 14/4
---
Take the square root of both sides to get:
x = [sqrt(14)]/2
=======================================
Cheers,
Stan H.

Answer by chibisan(131)   (Show Source): You can put this solution on YOUR website!
(2x^2)-7 = 0
bring -7 to R.H.S
2x^2 = 7
x^2 = 7/2

(probably the answer you were given is wrong)
Answer by rapaljer(4671)   (Show Source): You can put this solution on YOUR website!
2x^2 -7=0
2x^2 =7
x^2=7/2

The trick now is to rationalize the denominator, by multiplying numerator and denominator by square root of 2:
*

R^2
Answer by MathTherapy(10557)   (Show Source): You can put this solution on YOUR website!
I have an equation (2x^2)-7=0. The answer I have been given is the square root of 14 over 2. I'm unsure why. Could you walk me through the steps please?

------- Adding 7 to both sides of equation

------- Dividing both sides of equation by 2

-----
This could be the answer, but since you have a different answer, it's quite obvious that they want you to RATIONALIZE the denominator (not leaving the denominator with a square root value).

So,

------ Rationalizing denominator

Therefore, we get: , or:

RELATED QUESTIONS
I need to complete the square: {{{2x^2+10x-3 =0}}} I've been using {{{2x^2+4x-1=0}}} to... (answered by stanbon,richwmiller)
2x^2-2x+7=0 I have to solve this by completing the square. I solved it but I'm unsure (answered by jim_thompson5910,solver91311)
Hello, Im having an issue with the angle between the hour and minuet hand. The formula (answered by Alan3354)
I have been struggling on this problem and I can't figure out the answer. I was wondering (answered by nerdybill)
Hello, I am having diffuclties understanding this problem. Find all real and... (answered by stanbon,jim_thompson5910)
Hello! Here is the question I need help understanding: "Write an equation for a linear... (answered by josgarithmetic)
I have about 7 questions for my finals out of 66 could anyone please help me.... (answered by solver91311,ewatrrr)
The problem is 8x^3=125. Why can't I simply take the cubed root of both sides to get... (answered by ikleyn,MathTherapy,greenestamps)
If someone could help me find the answer. I have been doing this problem over and over. (answered by greenestamps)