Answer:
[tex]x=3 and x=10[/tex]
Step-by-step explanation:
The given equation is:
[tex]x^2-13x+30=0[/tex]
Upon solving the above equation, we get
⇒[tex]x^2-10x-3x+30=0[/tex]
⇒[tex]x(x-10)-3(x-10)=0[/tex]
⇒[tex](x-3)(x-10)=0[/tex]
Now, using the zero product property, we get
[tex]x-3=0[/tex] and [tex]x-10=0[/tex]
⇒[tex]x=3 and x=10[/tex]
which are the required values of x.
