Question

x² – 5x+6
To solve a quadratic equation, start by factoring.

Answer 1

Answer:

$x=2,~x=3$

Step-by-step explanation:

$Greetings!$

$I'm~Isabelle~Williams~and~i~will~be~answering~your~question!$

$\bold{We~factories~it~by~splitting~the~middle~terms:}$

$x^2-2x-3x+6=0$

$x(x-2) -3(x-2)=0$

$(x-2)(x-3)=0$

$\bold{Now, ~Equating ~the ~two ~factors~ with~ zero~ to~ obtain~ solutions:}$

$x-2=0,~x=2$

$x-3=0,~x=3$

$Hope~this~helps!~Have~a~wonderful~day~ahead!$

$-Isabelle~Williams$