Question

Solve with quadratic formula or factor square 2x to the 2nd power -x =3

Answer 1

Answer:

Step-by-step explanation:

2x²-2x=3

2x²-2x -3 = 0

note :

the discriminat of each quadratic equation : ax²+bx+c=0 ....(a ≠ 0) is :

Δ = b² -4ac

1 )  Δ > 0  the equation has two reals solutions : x =  (-b±√Δ)/2a

2 ) Δ = 0 : one solution : x = -b/2a

3 ) Δ < 0 : no reals solutions

***** in this exercice : a = 2   b = -2   c = -3

Δ = (-2)² -4(2)(-3) =28

x =  (2±√28)/6