Answer
No real solutions.
Work Step by Step
To find the number of solutions in a quadratic formula, we need to find the determinant. The determinant follows these rules:
If D<0: no real solutions
If D=0: 1 real solution
If D>0: 2 real solutions
The determinant is generally calculated by this formula: $ D={b^2-4ac}$.
The general formula for quadratic equations is: $ax^2+bx+c=0$
Therefore, in this equation, $x^2-2x+9=0$, $a=1$, $b=-2$ and $c=9$.
$D= b^2-4ac= (-2)^2-4*1*9=4-36=-32<0$
Therefore, this equation has no real solutions.
