Answer:
x = (-5+√21) /2 or x = (-5-√21) /2
Step-by-step explanation:
We have given the equation :
(x + 4)²– 3(x + 4) – 3=0
Put u = (x + 4) in the given equation we get,
u² -3u -3 = 0
Using quadratic equation we get,
u = ( -(-3)±√(-3)²-4(1)(-3) ) /2(1)
u = (3±√21) /2
Then replace u by (x+4) we get,
(x+4) = (3±√21) /2
x+4 = (3±√21) /2
x = (3(3±√21) /2 +(-4)
x = (-5±√21) /2
x = (-5+√21) /2 or x = (-5-√21) /2 is the solution.