Question

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Answer 1

Answer:

The roots are x=2 and x=3

Step-by-step explanation:

In a quadratic in the form ax²+bx+c,find two numbers that multiply to a.c and add up to b in order to factor.

in this case,we need that multiply to 6 and add up to -5.These two numbers are -2 and -3.

Now,split up the x term into two numbers.Next,factor the first two terms and the last two terms seperately,then combine them.Lastly,set each factor equal to zero and solve for x in each one.Here's what all that looks like:-

x²-5x+6=0

x²-2x-3x+6=0

x(x-2)-3x+6=0

x(x-2)-3(x-2)

(x-2)(x-3)=0

x-3=0 x-2=0

x=3 x=2

These are the two solutions. Hope this helped you!