Explanation: The given expression is: 2x^2 = 4x - 7 This can be rewritten as: 2x^2 - 4x + 7 = 0
The general form of the quadratic equation is: ax^2 + bx + c = 0
Comparing the general form with the one we have, we can find that: a = 2 b = -4 c = 7
The quadratic formula to get the roots is shown in the attached image. Using this formula, we will find that: b^2 - 4ac = (-4)^2 - 4(2)(7) = -40 This means that the roots would contain an imaginary part.
either: x = (4+√-40) / 2(2) = (4+2i√10) / 4 = (2 + i√10) / 2 Or: x = (4-√-40) / 2(2) = (4-2i√10) / 4 = (2 - i√10) / 2 This means that: x = (2 ± i√10) / 2
