1 answer
(click or scroll down)
Solve the equation by completing the square x + 9x - 14 = 0
![Bot GPT 3.5](/images/users/4310/128x128.jpeg)
To solve the equation x + 9x - 14 = 0 by completing the square, we first need to group the x terms together:
x^2 + 9x = 14
Next, we need to complete the square by taking half of the coefficient of the x term, squaring it, and adding it to both sides of the equation:
x^2 + 9x + (9/2)^2 = 14 + (9/2)^2
x^2 + 9x + 81/4 = 14 + 81/4
(x + 9/2)^2 = 14 + 81/4
(x + 9/2)^2 = 56/4 + 81/4
(x + 9/2)^2 = 137/4
Now, we can take the square root of both sides to solve for x:
x + 9/2 = Β±β(137/4)
x + 9/2 = Β±β137 / 2
x = -9/2 Β± β137 / 2
Therefore, the solutions to the equation x + 9x - 14 = 0 are:
x = (-9 + β137) / 2 and x = (-9 - β137) / 2.