Question

Simplify completely x^2+7x-30/x+10

Answer 1

B

Explanation:

Answer 2

(x-3)

Explanation:

we have

`(x^(2)+7x-30)/(x+10)`

step 1

Simplify the numerator

Complete the square

Equate the equation to zero

`x^(2)+7x-30=0`

`x^(2)+7x=30`

`x^(2)+7x+3.5^(2)=30+3.5^(2)`

`x^(2)+7x+12.25=42.25`

Rewrite as perfect squares

`(x+3.5)^(2)=42.25`

Take square root both sides

`(x+3.5)=(+/-)6.5`

`x=-3.5(+/-)6.5`

`x=-3.5(+)6.5=3`

`x=-3.5(-)6.5=-10`

therefore

`x^(2)+7x-30=(x-3)(x+10)`

substitute in the numerator

`(x^(2)+7x-30)/(x+10)=((x-3)(x+10))/(x+10)=x-3`