Find the real solutions of the equation by graphing. ×^2-×+2=0
a. ×=1
b. ×=3
c. no solution
d. ×=2
To graph the equation x^2 - x + 2 = 0, we need to find the x-intercepts. These are the points where the graph intersects the x-axis.
Using the quadratic formula, we can find the x-intercepts:
x = (-(-1) ± √((-1)^2 - 4(1)(2))) / 2(1)
x = (1 ± √(1 - 8)) / 2
x = (1 ± √(-7)) / 2
Since we have a negative value inside the square root (which represents imaginary numbers), there are no real solutions. Therefore, the correct answer is:
c. no solution