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mina [271]
1 year ago
5

PLEASE HELP ASAP!!!!!!!!!!!!!!!!!!!!!!

Mathematics
1 answer:
aivan3 [116]1 year ago
3 0

Hello and Good Morning/Afternoon

<u>Let's take this problem step-by-step</u>:

<u>To find the solution to a system of equation</u>

  ⇒ <em>must set</em> the equations equal to each other

     ⇒ and solve

<u>Let's put that into action</u>

  x^2-2x+3 = -2x + 12\\x^2-2x+2x+3-12=0\\x^2-9=0\\(x+3)(x-3)=0

  • At this point, to make the whole thing equal zero

          ⇒ either 'x+3' or 'x-3' equals zero

              ⇒ must find 'x' that satisify either equation

                    x-3=0\\x=3\\\\x+3=0\\x=-3

<u>Let's find the corresponding f(x) to each x-value</u>

  f(3) = -2(3)+12=-6+12 = 6\\\\f(-3) = -2(-3) + 12=6+12=18

<u>Therefore the solutions are (3,6) and (-3,18)</u>

<u />

<u>Answer: (3,6), (-3,18)</u>

<u></u>

Hope that helps!

#LearnwithBrainly    

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