Solve the quadratic equation.
x − 2x + 6 = 0
2
x = 2 ± 20
−− √
x = 2 ± 28
−− √
x = −2 ± 28
−− √
no real solution
The quadratic equation can be written as:
x^2 - 2x + 6 = 0
Using the quadratic formula, we have:
x = (-(-2) ± √((-2)^2 - 4(1)(6)))/(2(1))
x = (2 ± √(4 - 24))/(2)
x = (2 ± √(-20))/(2)
x = (2 ± 2i√5)/(2)
x = 1 ± i√5
Therefore, the quadratic equation has no real solutions.