Answer:
[tex]x=6.77[/tex] and [tex]x=-1.77[/tex]
Step-by-step explanation:
The given equation is:
[tex]x^2-5x=12[/tex]
Adding [tex]6.25[/tex] on both sides of the above equation, we get
⇒[tex]x^2-5x+6.25=12+6.25[/tex]
⇒[tex](x-2.5)^2=18.25[/tex]
⇒[tex](x-2.5)={\pm}{\sqrt{18.25}[/tex]
⇒[tex](x-2.5)={\pm}4.27[/tex]
⇒[tex](x-2.5)=4.27[/tex] and [tex](x-2.5)=-4.27[/tex]
⇒[tex]x=4.27+2.5[/tex] and [tex]x=-4.27+2.5[/tex]
⇒[tex]x=6.77[/tex] and [tex]x=-1.77[/tex]
which is the required values of x.
