Question

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 1

Given data:

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

The given expression can be written as,

`\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}`

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