How many solutions are there to the quadratic equation
4x2 + 8x + 3 = 0?
0
1
2
none of the above

Question

Asked 10/6/2012 12:49:01 AM

Updated 8/29/2014 10:38:25 PM

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Flagged by andrewpallarca [8/29/2014 10:38:25 PM]

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Expert answered|altheacool|Points 75|

Question

Asked 10/6/2012 12:49:01 AM

Updated 8/29/2014 10:38:25 PM

1 Answer/Comment

This conversation has been flagged as incorrect.

Flagged by andrewpallarca [8/29/2014 10:38:25 PM]

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4x^2 + 8x + 3 = 0;

(2x + 1)(2x + 3) = 0;

2x + 1 = 0; 2x = -1; x = -1/2;

2x + 3 = 0; 2x = -3; x = -3/2

There are TWO solutions (x = -1/2 and x = -3/2) to the quadratic equation 4x^2 + 8x + 3 = 0.

4(-1/2)^2 + 8(-1/2) + 3 = 0;

4(1/4) - 4 + 3 = 0;

1 - 4 + 3 = 0;

-3 + 3 = 0

4(-3/2)^2 + 8(-3/2) + 3 = 0;

4(9/4) - 12 + 3 = 0;

9 - 12 + 3 = 0;

9 - 9 = 0

(2x + 1)(2x + 3) = 0;

2x + 1 = 0; 2x = -1; x = -1/2;

2x + 3 = 0; 2x = -3; x = -3/2

There are TWO solutions (x = -1/2 and x = -3/2) to the quadratic equation 4x^2 + 8x + 3 = 0.

4(-1/2)^2 + 8(-1/2) + 3 = 0;

4(1/4) - 4 + 3 = 0;

1 - 4 + 3 = 0;

-3 + 3 = 0

4(-3/2)^2 + 8(-3/2) + 3 = 0;

4(9/4) - 12 + 3 = 0;

9 - 12 + 3 = 0;

9 - 9 = 0

Added 8/29/2014 10:38:21 PM

This answer has been confirmed as correct and helpful.

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Asked 10/5/2012 11:03:39 AM

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"Each representative who wishes to speak on the bill will be allowed five minutes." A statement like this one would be the work of the A.)Standing Committee B.)Conference Committee C.)House Rules Committee D.)Senate Rules Committee

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Updated 6/14/2016 12:57:25 AM

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"Each representative who wishes to speak on the bill will be allowed five minutes." A statement like this one would be the work of the House Rules Committee.

Added 6/14/2016 12:57:25 AM

This answer has been confirmed as correct and helpful.

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