Property 1
\[ a\neq 0 \qquad a,b,c\in\mathbb{R} \] \[ ax^2+bx+c=0 \]The equation above is an unknown quadratic equation with one unknown. The root of the given second degree equation above can be found by factorization.
\[ ax^2+bx+c=0 \] \[ (mx+n)(kx+p)=0 \] \[ x_1=-\samefrac{n}{m}\qquad x_2=-\samefrac{p}{k} \] \[ S.S.=\left\{-\samefrac{n}{m},-\samefrac{p}{k}\right\} \]1.
\(x^2-9=0\)
\(\Rightarrow S.S.=?\)
2.
\(2x^2-8=0\)
\(\Rightarrow S.S.=?\)
3.
\(x^2=4x\)
\(\Rightarrow S.S.=?\)
4.
\(x^2-2x=x\)
\(\Rightarrow S.S.=?\)
5.
\(x^2-3x+2=0\)
\(\Rightarrow S.S.=?\)
6.
\(x^2-5x-14=0\)
\(\Rightarrow S.S.=?\)
7.
\(x^2-6x+8=0\)
\(\Rightarrow S.S.=?\)
8.
\(x^2-10x+16=0\)
\(\Rightarrow S.S.=?\)
9.
\(x^2-8x+12=0\)
\(\Rightarrow S.S.=?\)