Question
Solve the equation by completing the square if necessary round to the nearest hundredths X squared -18 X equals 19
Answers
Answered by
GPT 3.5
To solve the equation by completing the square, we first rewrite the equation as:
X^2 - 18X = 19
Next, we need to complete the square by adding and subtracting (18/2)^2 = 81 on both sides of the equation:
X^2 - 18X + 81 = 19 + 81
(X - 9)^2 = 100
Taking the square root of both sides, we get:
X - 9 = ± 10
X = 9 ± 10
Therefore, the solutions to the equation X^2 - 18X = 19 are X = 9 + 10 and X = 9 - 10.
X = 19 or X = -1.
Rounded to the nearest hundredth, the solutions are X = 19.00 or X = -1.00.
X^2 - 18X = 19
Next, we need to complete the square by adding and subtracting (18/2)^2 = 81 on both sides of the equation:
X^2 - 18X + 81 = 19 + 81
(X - 9)^2 = 100
Taking the square root of both sides, we get:
X - 9 = ± 10
X = 9 ± 10
Therefore, the solutions to the equation X^2 - 18X = 19 are X = 9 + 10 and X = 9 - 10.
X = 19 or X = -1.
Rounded to the nearest hundredth, the solutions are X = 19.00 or X = -1.00.