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4x^2+8x+3=0

As an answer I got x=-4(plus or minus)square root of 13 

                                 all of the above (except for x) over 4

 

Is it correct or not?

 

Thank you, I always get great answers.

 Dec 14, 2014

Best Answer 

 #1
avatar+23252 
+10

4x² + 8x + 3  =  0

First, move the number term to the other side:

Subtract 3 from both sides                    4x² + 8x      =  -3 

Then, divide both sides by the coefficient of the squared term:

Divide all the terms by 4:                        x² + 2x       =  -3/4

Now, three steps:  divide the coefficient of the linear terms by 2:     2/2  = 1

                                                                    square this result:           1²  =  1

                              add this number to both sides of the equation:

                                                                   x² + 2x + 1  =  -3/4 + 1

Factor the left-hand side; simplify the right side:

                                                                           (x + 1)²  =  1/4

Find the square root of both sides:                        x + 1  =  ± 1/2

Subtract 1 from both sides:                                         x  =  -1 ± 1/2     --->      x  =  -1.5  or  x  =  0.5

 Dec 15, 2014
 #1
avatar+23252 
+10
Best Answer

4x² + 8x + 3  =  0

First, move the number term to the other side:

Subtract 3 from both sides                    4x² + 8x      =  -3 

Then, divide both sides by the coefficient of the squared term:

Divide all the terms by 4:                        x² + 2x       =  -3/4

Now, three steps:  divide the coefficient of the linear terms by 2:     2/2  = 1

                                                                    square this result:           1²  =  1

                              add this number to both sides of the equation:

                                                                   x² + 2x + 1  =  -3/4 + 1

Factor the left-hand side; simplify the right side:

                                                                           (x + 1)²  =  1/4

Find the square root of both sides:                        x + 1  =  ± 1/2

Subtract 1 from both sides:                                         x  =  -1 ± 1/2     --->      x  =  -1.5  or  x  =  0.5

geno3141 Dec 15, 2014

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