SOLUTION: Solve {{{x^2-x+10=0}}}

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Question 130697: Solve


Answer by jim_thompson5910(35256)   (Show Source): You can put this solution on YOUR website!
Let's use the quadratic formula to solve for x:


Starting with the general quadratic



the general solution using the quadratic equation is:





So lets solve ( notice , , and )




Plug in a=1, b=-1, and c=10



Negate -1 to get 1



Square -1 to get 1 (note: remember when you square -1, you must square the negative as well. This is because .)



Multiply to get



Combine like terms in the radicand (everything under the square root)



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



Multiply 2 and 1 to get 2



After simplifying, the quadratic has roots of

or

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