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Serhud [2]
4 years ago
5

F(x)=x^2-10x+44 complete the square

Mathematics
1 answer:
oksian1 [2.3K]4 years ago
3 0
We have that
F(x)=x²<span>-10x+44
</span><span>Group terms that contain the same variable
</span>f(x)=(x²-10x)+44
<span>Complete the square  Remember to balance the equation 
</span>f(x)=(x²-10x+25-25)+44

Rewrite as perfect squares

f(x)=(x-5)²-25+44

f(x)=(x-5)²+19

this is the equation of a vertical parabola with vertex (5,19)

see the attached figure



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