Find the vertical asymptote for y=x^2-5x/x^2-x-2

vertical asymptote at x=2  and x=-1

Step-by-step explanation:

To find out vertical asymptote we set the denominator =0  and solve for x

now factor left hand side

find out two factors whose product is -2 and sum is -1

-2 times 1 = -2

-2+1 = -1

(x-2)(x+1) =0

x-2 =0  so x= 2

x+1 =0 so x=-1

vertical asymptote at x=2  and x=-1

i = 2 / - 5

step-by-step explanation:

evaluation of ( 2 - 4 ) ( p + q ) when p = 2 and q = 5 i, by putting values of p and q,                                                                    

arrange the equations with like terms in columns.

analyze the coefficients of x or y.

add the equations and solve for the remaining variable.

substitute the value into either equation and solve.

check the solution.

step-by-step explanation: