Final answer:
To solve the quadratic equation x^2 + 205 = 10x using the quadratic formula, rearrange the equation to have 0 on one side. Apply the quadratic formula by substituting the coefficients into the formula and solve for x. The equation has no real solutions.
Step-by-step explanation:
To solve the quadratic equation x=2+520= using the quadratic formula, we first need to rearrange the equation to have 0 on one side: x
Now we can use the quadratic forwhere a is the coefficient ofis the coefficient of x,and c is the constant term.
For our equation, a=1 b=10and x=250 Substituting these values into the formula, we get:
Simplifying further, x=x
Since the value inside the square root is negative, the equation has no real solutions. Therefore, the quadratic equation has no roots in simplest form.