Find the term that must be added to the equation x2−2x=1 to make it into a perfect square.

The perfect square ( x -1 )² = 2

Step-by-step explanation:

Explanation:-

Given equation  x² - 2 x = 1

              ⇒        x² - 2 x + 1 -1 = 1

             ⇒        x² - 2x + 1² = 1 +1

             ⇒     ( x -1 )² = 2

a = 11 : 4

b = 38

c = 1 for every 6

x ≥ 18 is your answer

step-by-step explanation:

let "a number" = x

(2/3)x + 17 ≥ 29

isolate the variable (x). do the opposite of pemdas (parenthesis, exponent (& root), multiplication, division, addition, subtraction).

first, subtract 17 from both sides.

(2/3)x + 17 (-17) ≥ 29 (-17)

(2/3)x ≥ 29 - 17

(2/3)x ≥ 12

next, multiply 3/2 to both sides to isolate the x

(3/2)(2/3)x ≥ 12(3/2)

x ≥ 12(3/2)

simplify. multiply, then divide

x ≥ (12 * 3)/2

x ≥ (36)/2

x ≥ 18

x ≥ 18 is your answer

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