Question

First factor the trinomial as a binomial square and then use the square root method to solve. x2 - 20x + 100 = 36
HELP!!!!!!!!!!!!!

Answer 1

First, realize that x^2 - 20x + 100 = (x-10)^2. Then take the positive/negative square roots of 36. Then you have the answer.

Answer 2

so we are looking to factorise it as

\[(x+a)^2 \]

if we just expand this ^ for the sake of explaining

\[(x+a)^2 = (x+a)(x+a) = x(x+a) + a(x+a) = x^2 + 2ax + a^2\]

so

\[x^2 +20x+ 100 = x^2 + 2ax +a^2\]

so we can see that

\[2ax = 20x\]

\[2a = 20\]
\[a = 10\]

so we have

\[(x+10)^2 = 36\]

Answer 3

does that make sense?

Answer 4

can I get that in a ordered pair ( , )

Answer 5

\[(x+10)^2 = 36\]
\[(x+10) = \pm 6\]\[x = \pm 6 -10\]

x= -16 , x = -4

Answer 6

do you understand the method?