SOLUTION: Solve: x^2 - x + 49 = 0 since b^2-4ac is negative, this has imaginary roots. I would like to know if there is a better/easier way to solve this and such quadratics..many thanks

Question 236647: Solve: x^2 - x + 49 = 0
since b^2-4ac is negative, this has imaginary roots. I would like to know if there is a better/easier way to solve this and such quadratics..many thanks
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!

Start with the given equation.

Notice that the quadratic is 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

or Break up the expression.

So the solutions are or

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