SOLUTION: Hello, I have a problem that I am working on but I have two answers. Can someone tell me what I am doing wrong. The problem is: solve by x: x^2+14x+4=0 my first answer i

Question 460081: Hello,
I have a problem that I am working on but I have two answers. Can someone tell me what I am doing wrong. The problem is:
solve by x: x^2+14x+4=0
my first answer is: 7sqrt 5, 7-sqrt 5
my second answer is: -7-3 sqrt 5, 3 sqrt 7
I am so lost, please help. Thanks
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!

Start with the given equation.

Notice that the quadratic is in the form of where , , and

Let's use the quadratic formula to solve for "x":

Start with the quadratic formula

Plug in , , and

Square to get .

Multiply to get

Subtract from to get

Multiply and to get .

Simplify the square root (note: If you need help with simplifying square roots, check out this solver)

Break up the fraction.

Reduce.

or Break up the expression.

So the solutions are or

RELATED QUESTIONS
Hello, I need some help with factoring. I have a problem and I am not sure that I am... (answered by stanbon)

I am having a hard time converting acres. The problem I am stuck on is how many acres are (answered by venugopalramana)

Hello, I have a problem, that I dont know what am I doing wrong with it.The problem is... (answered by josgarithmetic,KMST)

Hello. I am struggling with this equation - (2√7+3)(3√7-4) I know that we are (answered by jim_thompson5910,ankor@dixie-net.com)

I have been working on a problem using the elimination method. I think I have it right... (answered by scott8148,stanbon)

Hello, I am having a hard time understanding how to graph the linear inequalities. I... (answered by josgarithmetic)

Can someone please help with the questions I have submitted I am truly working on them... (answered by Alan3354)

Hello. Ok the problem that I am having with my homework is this. The question says to... (answered by checkley71)

Here is the problem: A soccer team has 16 players. How many ways can the coach choose a... (answered by rothauserc,Edwin McCravy)