Question

a)(x+3)²-(x-4)*(x+4)=1

 

Answer 1

\(\left(x+3\right)^2-\left(x-4\right)\cdot\left(x+4\right)=1\)

\(\Leftrightarrow x^2+6x+9-\left(x^2-16\right)=1\)

\(\Leftrightarrow x^2+6x+9-x^2+16=1\)

\(\Leftrightarrow x^2-x^2+6x=1-9-16\)

\(\Leftrightarrow6x=-24\)

\(\Leftrightarrow x=-4\)

Answer 2

a) \(\left(x+3\right)^2-\left(x-4\right)\left(x+4\right)=1\)

\(\Rightarrow x^2+6x+9-\left(x^2-16\right)=1\)

\(\Rightarrow6x+25=1\)

\(\Rightarrow6x=-24\Leftrightarrow x=-4\)