factories = x^2 +19x + 60
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After factorizing we will get x = -15 and -4
Step-by-step explanation:
We are given the expression x²+19x+60=0 if we compare to a general quadratic equation, which is of the form ax²+bx+c=0
We will see that here c=60
While factorizing we need to consider this c
if c is a positive quantity then we need to break bx in such a way that the 2 quantities we are breaking can give when multiplied and b when added
as c=60
Let's factorize this we will get 15,4 now if we multiply 15 and 4 we will get 60 and if we add we will get 19
Thus we can also write the given expression as
x²+15x+4x+60=0
or, x(x+15) + 4(x+15) = 0
or, (x+4)(x+15)=0
or, x = -4, -15
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