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consider the equation below.

x^2-10x-11=0

determine which equation has the same solutions as the given equation.

a. (x-10)^2=36

b. (x-5)^2=21

c. (x-10)^2=21

d. (x-5)^2=36

  D.  (x-5)^2 = 36

Step-by-step explanation:

If you add 11 to the given equation, you get ...

  x^2 -10x = 11

Then you can add the square of half the x-coefficient to complete the square.

  x^2 -10x +25 = 11 +25

  (x -5)^2 = 36 . . . . simplify to the appropriate form

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step-by-step explanation:

ez do it yourself lazy

, and

for

step-by-step explanation:

we can analyze the pattern at which the terms increase. let us denote , , , so that we can call

note the following:

the pattern: to get the next term value, we just add the next term number (e.g. 1st, 2nd, to the previous term value (term values are the given numbers in the question, 1, 3, 6, 10, 15,

from , to get to , we add

from , to get to , we add

etc.

we need to form a recursive formula, a formula that has the next term as a function of the previous term. so a possible recursive formula can be

, and for