SOLUTION: Can you please help me understand how to do this problem. Solve for X x^2 - x + 11 = 0 so x = ? I came up with this answer and I am unsure if it is correct. 1 + sqrt

Question 352771: Can you please help me understand how to do this problem.
Solve for X
x^2 - x + 11 = 0 so x = ?
I came up with this answer and I am unsure if it is correct.
1 + sqrt43 over 2
1 - sqrt42 over 2

Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!

Start with the given equation.

Notice we have a quadratic equation in the form of where , , and

Let's use the quadratic formula to solve for x

Start with the quadratic formula

Plug in , , and

Negate to get .

Square to get .

Multiply to get

Subtract from to get

Multiply and to get .

Simplify the square root (note: If you need help with simplifying square roots, check out this solver)

or Break up the expression.

So the answers are or

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