Math, asked by ArvindYadav1, 1 year ago

what is the trick to split the middle term of x^2-169x+3600=0

Answers

Answered by siddhartharao77
1
Given Equation is x^2 - 169x + 3600 = 0

                              x^2 - 144x - 25x + 3600 = 0

                              x(x - 144) - 25(x - 144) = 0

                              (x - 144)(x - 25) = 0

                              x - 144 = 0 = > x = 144

                              x - 25 = 0 = > x = 25.


Therefore the required values are 144 and 25.


Hope this helps!

ArvindYadav1: Sorry to say that I know the answer but I want to understand the concept
siddhartharao77: Which concept Arvind.
ArvindYadav1: how you arrived at 144 and 25
siddhartharao77: This question can be answered in many ways. One I already did.Another way is Using the quadratic equation -b+b^2-4ac/2a (or) -b - b^2-4ac/2a
ArvindYadav1: any other way of reaching the conclusion regarding 144 and 25 ?
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