solve by completing the square. 2 x 2 + 2 x − 3 = 0

Question

solve by completing the square.  2      x          2        +  2  x  −  3  =  0

cindysnifflesuz · Accepted Answer

2      x          2        +  2  x  −  3  =  0Divide through bywhatever is multiplied on the squared term.      x          2        +  x  −      3    2    =  0Take half of thecoefficient (don&#039;t forget the sign!) of the x-term, and square it. Add thissquare to  both sides of the equation.      x          2        +  x  −      3    2    +  .25  =  .25Bring the 3/2 over toother side      x          2        +  x  +  .25  =      3    2    +  .25  (  x  +  5      )          2        =  1.75square root both sides  x  ±  .5  =      1.75    x  =      1.75    ±  .5  x  =            7      4        ±      1    2  and this can be rewrote:  x  =            7        2    ±      1    2    x  =            1      ±              7              2

Alonzo Odom · Accepted Answer

I would use the quadratic formula which is:

(- b \pm \sqrt{b^{2} - 4 a c}) / 2 a

Using that:

(- 2 \pm \sqrt{22 - 4 (2) (- 3)}) / 2 (2) = (- 2 \pm \sqrt{28}) / 4

Solve by completing the square. 2x^2 + 2x - 3 = 0

Answered question

Answer & Explanation

New Questions in Algebra I