SOLUTION: x2 − 10x + 24 = 0

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Question 1205823: x2 − 10x + 24 = 0
Answer by ikleyn(52787) About Me  (Show Source):
You can put this solution on YOUR website!
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      It can be solved by completing the square method



x^2 - 10x + 24 = 0


(x^2 - 2*5x + 25) - 25 + 24 = 0


(x-5)^2 - 1 = 0


(x-5)^2 = 1


x-5 = +/- 1   (after taking square root from both sides)


x = 5 +/- 1.


ANSWER.  The given equation has two solutions.  One solution is   5-1 = 4.

                                                Other solution is 5+1 = 6.


      Alternatively, it can be solved by factoring


x^2 - 10x + 24 = 0


(x-4)*(x-6) = 24    <<<---===  factoring is made MENTALLY in your head.


giving the same roots 4 and 6.

Solved in two ways for your better understanding.


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    - HOW TO solve quadratic equation by completing the square - Learning by examples
    - Solving quadratic equations without quadratic formula
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