X squared-11x+19=-5 in factored form?

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Answer 1 · 2018-06-19T15:41:14

#color(blue)((x-3)(x-8)#

#x^2-11x+19=-5#

#x^2-11x+19+5=0#

#x^2-11x+24=0#

Multiply the coefficient of #x^2# by the constant.

In this case it will be:

#1*24=24#

Now we are looking for 2 factors of 24 whose sum is #-11#

These are #-3 and -8#

Re-writing equation:

#x^2-3x-8x+24=0#

Now factor:

#x(x-3)-8(x-3)=0#

#(x-3)(x-8)=0#

So:

#x^2-11x+24-=(x-3)(x-8)#