What are the solutions of the quadratic equation (x – 8)2 – 13(x – 8) + 30 = 0?
x = –11 and x = –18 x = –2 and x = 5 x = 2 and x = –5 x = 11 and x = 18

last option.

Step-by-step explanation:

Remember the square of a binomial:

Given the equation , you need to simplify it:

Use the Quadratic formula:

In this case:

Substituting you get:

The roots are x=18 and x=11  ..

Step-by-step explanation:

Given

(x-8)^2-13(x-8)+30=0

To bring the equation in standard form

(x^2-16x+64)-13x+104+30=0

x^2-16x-13x+64+104+30=0

x^2-29x+198=0

The equation is in standard form now,

To get the solution, we have to factorize the equation.

x^2-18x-11x+198=0

x(x-18)-11(x-18)=0

(x-18)(x-11)=0

Putting the factors equal to zero

x-18=0    x-11=0

x=18    x=11

So the roots are x=18 and x=11

c

step-by-step explanation: