double0749 double0749

21-10-2019
Mathematics

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f(x) = x2 + 4x − 6
f(x) can be written in the form (x + m)2 + n.
Find the value of m and the value of n.

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21-10-2019

Since

[tex]x^2+4x+4=(x+2)^2[/tex]

Is a perfect square, we can think of the "-6" at the end as a "+4-10" and we have

[tex]x^2+4x-6 = x^2+4x+4-10 = (x+2)^2-10[/tex]

Which is the required form

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