Answer:
The answer to the given quadratic equation is (x-2) and (x-7)
and is given by [tex]x^2-9x+14=(x-2)(x-7)=0[/tex]
Step-by-step explanation:
The quadratic equation is
[tex]x^2-9x+14=0[/tex]
To factorise the given quadratioc equation :
[tex]x^2-9x+14=x^2-7x-2x+14[/tex]
[tex]=x(x-7)-2(x-7)[/tex]
[tex]=(x-2)(x-7)[/tex]
therefore [tex]x^2-9x+14=(x-2)(x-7)=0[/tex]
Therefore the factors are (x-2) and (x-7)
x-2=0 or x-7=0
x=2 or x=7
Therefore the answer to the given quadratic equation is (x-2) and (x-7)
and is given by [tex]x^2-9x+14=(x-2)(x-7)=0[/tex]
