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
