Question

plz do this problem it's urgent
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Answer 1

Answer:

where a = 1, b = -14,  and c = 24.      so we have: x^2 - 14x + 24 = 0

since a = 1 we factor c ( 24)  and we add the factors to see if they add up to b (-14).

notice that c is positive =>this means that the two factors were looking for have the same sign.

also since b is negative we know that the larger and hence both of the factors in question are negative.

Now we seek two negative numbers whose product is 24 and whose sum is -14.

fgactoring 24 we get: -1*-24 whose sum is -25 no good. next we try -2*-12 whose sum is -14 <= BINGO!

Now we write:  x^2 - 14x + 24 =0

                     (x - 2) (x - 12) = 0

 

so set each factor to zero:  x-2 = 0 ; x - 12 =0

 

Finally solve the two resulting linear equations to get: x = 2 ,and x = 12.

Step-by-step explanation: