X^2+11x-1247
AAAaannndd the bot gets it wrong yet again!
There's no equation to solve, but we can express the quadratic in vertex form by completing the square.
x^2+11x-1247
= x^2 + 11x + (11/2)^2 - 1247 + (11/2)^1
= (x + 11/2)^2 - 5109/4
To solve this equation using perfect square method, we need to first find the middle term coefficient in such a way that twice the product of the square root of the perfect square and x gives us the middle term coefficient.
The perfect square that comes to mind here is 36 because it is close to 1247 and its square root is 6.
So, we add and subtract 36 from -1247 to get:
x^2 + 11x - 1247 = x^2 + 11x + 36 - 36 - 1247
This can be written as:
x^2 + 11x + 36 - 1283 = (x + 6)^2 - 1283
Therefore, the complete equation using perfect square method is:
(x + 6)^2 - 1283 = 0
To solve for x, we add 1283 to both sides of the equation and take the square root of both sides:
(x + 6)^2 = 1283
x + 6 = ±√1283
x = -6 ± √1283