What are the solutions of the quadratic equation? 2x^2 – 16x + 32 = 0 show all work

x= 4 x=-4

Step-by-step explanation:

In order to solve this we first have to factorize the equation, to make it solvable, as you can see all of the terms are multiples of 2 so we first factorize by dividin all of them by 2:

2x^2-16x+32=0

2(x^2-8x+32)=0

No we just factorize the perfect square trinomial that is left inside the parenthesis:

2(x-4)(x+4)=0

So the two solutions for x would be -4 and 4.

step-by-step explanation:

points a and b are equidistant from the desired line, so the line you find by using them will go through point r.

using points other than a and b will give the desired line only if they are equidistant from r. if they are randomly located, the perpendicular line you create will not necessarily go through point r, hence will not be a solution to the problem.