(x - 2) ^2 - 3=12 solve by square roots

X = 2+ sqrt(15)

X = 2- sqrt(15)

Step-by-step explanation:

(X - 2) ^2 - 3=12

add 3 to each side

(X - 2) ^2 - 3+3=12+3

(X - 2) ^2 =15

take the square root of each side

sqrt((X - 2) ^2) =+-sqrt(15)

(X-2) = +- sqrt(15)

add 2 to each side

X-2+2 = 2+- sqrt(15)

X = 2+- sqrt(15)

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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