Step 1

Given

\(\displaystyle{x}^{{2}}-{3}{x}-{10}={0}\)

Step 2 Finding the roots

\(\displaystyle{x}^{{2}}-{5}{x}+{2}{x}-{10}\)

x(x-5)+2(x-5)=0

(x-5)(x+2)=0

x-5=0, x+2=0

x=5, x=-2

x=5, -2

\(\displaystyle\therefore\) Roots are 5, -2

Given

\(\displaystyle{x}^{{2}}-{3}{x}-{10}={0}\)

Step 2 Finding the roots

\(\displaystyle{x}^{{2}}-{5}{x}+{2}{x}-{10}\)

x(x-5)+2(x-5)=0

(x-5)(x+2)=0

x-5=0, x+2=0

x=5, x=-2

x=5, -2

\(\displaystyle\therefore\) Roots are 5, -2