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What is the intermediate step in the form (x + a)2 = b as a result ofcompleting the square for the following equation?x^2 + 74 = -10x

Answer :

Given data:

The given expression is x^2+74=-10x.

The given expression can be written as,

[tex]\begin{gathered} x^2+74=-10x \\ x^2+10x+74=0 \\ x^2+2(x)(5)+25+49=0 \\ (x+5)^2+49=0 \\ (x+5)^2=-49 \end{gathered}[/tex]

Thus, the given expression can be written as (x+5)^2 =-49.

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