Question

X^2-9x+14

Answers to choose from are

X+1

X+2

X-7

PRIME

Answer 1

The answer to the given quadratic equation is (x-2) and (x-7)

and is given by
`x^2-9x+14=(x-2)(x-7)=0`

Explanation:

The quadratic equation is

`x^2-9x+14=0`

To factorise the given quadratioc equation :

`x^2-9x+14=x^2-7x-2x+14`

`=x(x-7)-2(x-7)`

`=(x-2)(x-7)`

therefore
`x^2-9x+14=(x-2)(x-7)=0`

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
`x^2-9x+14=(x-2)(x-7)=0`