Question 1205823
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<pre>

      <U>It can be solved by completing the square method</U>



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.


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

                                                Other solution is 5+1 = 6.


      <U>Alternatively, it can be solved by factoring</U>


x^2 - 10x + 24 = 0


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


giving the same roots 4 and 6.
</pre>

Solved in two ways for your better understanding.



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&nbsp;&nbsp;&nbsp;&nbsp;- <A HREF=https://www.algebra.com/algebra/homework/quadratic/lessons/proof-of-quadratic-by-completing-the-square.lesson>PROOF of quadratic formula by completing the square</A>

&nbsp;&nbsp;&nbsp;&nbsp;- <A HREF=https://www.algebra.com/algebra/homework/quadratic/lessons/Learning-by-examples-on-HOW-TO-complete-the-square.lesson>HOW TO complete the square - Learning by examples</A> 

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&nbsp;&nbsp;&nbsp;&nbsp;- <A HREF=https://www.algebra.com/algebra/homework/quadratic/lessons/Solving-quadratic-equations-without-quadratic-formula.lesson>Solving quadratic equations without quadratic formula</A>

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