SOLUTION: x^2-7x+11=0 the exact solutions=? the approximate solutions to 3 decimal places are?

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Question 206085: x^2-7x+11=0
the exact solutions=?
the approximate solutions to 3 decimal places are?

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 .


or Break up the expression.


So the solutions are or


which approximate to or


Note: use a calculator to evaluate and to get the approximate answers.

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