IDNStudy.com, ang iyong pangunahing mapagkukunan para sa mga sagot ng eksperto. Sumali sa aming interactive na platform ng tanong at sagot para sa mabilis at eksaktong tugon mula sa mga propesyonal sa iba't ibang larangan.

COMPLETING THE SQUARE
GIVE ME AN ANSWER PLEASE?????

2x²+6x+4=0

  


Sagot :

Note the standard form of quadratic equation Ax² + Bx + C = 0.

First divide the whole equation by 2:  to make A=1.

            2x² + 6x + 4 = 0 ....................divide by 2
              x² + 3x +2 = 0
              x² + 3x = -2     ....................transposing 2 to the other side of the equation.

Get (B/2A)² :
                    = (3/2)²
                    = 9/4  .........................ADD this to both sides of the equation.

We will have:

             x² + 3x + 9/4 = -2 + 9/4
                  (x + 3/2)² = 1/4.....................take the SQUARE ROOT of both sides.
                  x + 3/2 = +/- 1/2

                        x₁ = 1/2 - 3/2                          x₂ = -1/2 - 3/2
                        x₁ = -1                                   x₂ = -2