SOLUTION: I have to solve this equation by completing the square, and I'm a bit stumped. Any help would be greatly appreciated! 2x^2+10x+11=0 Thank you!

Question 86430: I have to solve this equation by completing the square, and I'm a bit stumped. Any help would be greatly appreciated!
2x^2+10x+11=0
Thank you!

Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Use the quadratic formula to solve for x

Starting with the general quadratic

the general form of the quadratic equation is:

So lets solve

Plug in a=2, b=10, and c=11

Square 10 to get 100

Multiply to get

Combine like terms in the radicand (everything under the square root)

Simplify the square root

Multiply 2 and 2 to get 4

So now the expression breaks down into two parts

or

Which approximate to

or

So our solutions are:
or

Notice when we graph we get:

when we use the root finder feature on our calculator, we find that and .So this verifies our answer
RELATED QUESTIONS
Hello. I am stumped on a homework assignment. I have to solve a quadratic equation using... (answered by Alan3354,ewatrrr)

Graph using the intercept method: 2x + y = 4. I am a bit confused on this one, any... (answered by Earlsdon)

I have two problems i need help with. I need to solve these by using the quadratic... (answered by checkley71)

I am studying for a college entrance exam and am stumped by this question. I tried to... (answered by drk,richwmiller)

Solve the equation: r/5 + 6/5 = r/7 + 8/7 I have no idea on how to go about this.... (answered by stanbon)

Help! I am stumped. I'm trying to solve this quadratic equation, and I'm not sure if the... (answered by checkley75)

Solve for x. {{{ y = 20(x)1.1^x }}} This is for an online game I am playing (ogame.com) (answered by scott8148)

I am having difficulty on this problem. Any help that you could provide would be... (answered by Fombitz)

I would appreciate any help with this problem. Solve by completing the square... (answered by josmiceli)