plz do this problem it's urgent
Answers
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: