Answer:
See the explanation
Step-by-step explanation:
The equation given to us is:
x² - 14x -284 = -2x
Lets solve the given equation
x² -14x + 2x - 284 = 0
x² - 12x - 284 = 0
Lets convert it into whole square, we know that
c²+2cd+d² = (c+d)² or c²-2cd+d² = (c+ (-d))²
So
x² - 12x - 284 = 0
x² - 2(x)(6) + 6² - 6² -284 = -
(x² - 2(x)(6) + 6²) - 36 - 284 = 0
(x + (-6))² - 320 = 0
(x + (-6))² = 320
if a=-6 and b=320, then the equation becomes:
(x + a)² = b
