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Find all values of x such that 3x^2 + 14x + 8 = x^2 - 2x + 6. If you find more than one value, then list your solutions, separated by commas.

 Jul 12, 2023
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Hi !  So....

 

3x^2 + 14 x + 8 = x^2 - 2x  + 6 

 

First, let's combine like terms : 

 

3x^2 + 14x + 2 = x ^2 - 2x 

 

 = 3x ^ 2 + 16x + 2 = x ^ 2 

 

 = 2x ^ 2 + 16 x + 2 

 

 

Now I am assuming that you know the quadratic equation:  ax ^ 2 + bx + c = 0 

 

Now we just plug the equation ( 2x^2 + 16x + 2 ) into the quadratic equation : 

 

Sorry, But it will be hard to type the quadratic equation step by step : 

 

But your final outcome will be : ( -4 + sqrt 15 )    or  ( -4 - sqrt 15) 

 

If you have trouble on this problem I suggest doing some basic research on the quadratic formula and how to recognize it. smiley

 Jul 12, 2023

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