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Can anyone solve this 20 points question please.

Can anyone solve this 20 points question please.-example-1
User Wkzhu
by
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1 Answer

3 votes

Answer:


g(x)=2(x-1.75)^(2)-1.125

Explanation:

we have


g(x)=2x^(2) -7x+5

Factor the leading coefficient 2


g(x)=2(x^(2) -3.5x)+5

Complete the square. Remember to balance the equation by adding the same constants to each side.


g(x)=2(x^(2) -3.5x+1.75^2)+5-(2)(1.75^2)


g(x)=2(x^(2) -3.5x+1.75^2)+5-6.125


g(x)=2(x^(2) -3.5x+1.75^2)-1.125

Rewrite as perfect squares


g(x)=2(x-1.75)^(2)-1.125

User Manmohan Bohara
by
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