What is power rule and definitions
1 answer:
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(x, f(x)) = (x, g(x)) = (-2, 5), (2, -3)
_____
Analytically, it works well to find
g(x) -f(x) = 0
(x^2 -2x -3) -(-2x +1) = 0
x^2 -4 = 0
x^2 = 4
x = ±√4 = ±2
Then
f(-2) = -2(-2) +1 = 5
f(2) = -2(2) +1 = -3
(x, f(x)) = (x, g(x)) = (-2, 5), (2, -3)
_____
Analytically, it works well to find
g(x) -f(x) = 0
(x^2 -2x -3) -(-2x +1) = 0
x^2 -4 = 0
x^2 = 4
x = ±√4 = ±2
Then
f(-2) = -2(-2) +1 = 5
f(2) = -2(2) +1 = -3
Answer:
Step-by-step explanation:
First we need to make sure that the leading coefficient is a 1. Ours is a 4, so we need to factor it out, leaving us with
To complete the square, take half the linear term, square it, then add it to both sides. But don't forget about that 4 hanging around out front, refusing to be ignored. Our linear term is 18. Half of 18 is 9, and 9 squared is 81. Add 81 into the parenthesis, but what we REALLY added in was 4*81 which is 324:
To solve this, we need to get the x terms all by themselves. So let's divide both sides by 4 to get
The process of completing the square created a perfect square binomial on the left. We will state this binomial now:
We isolate the x term by taking the square root of both sides:
x - 9 = ±9
From that we have 2 equations:
x - 9 = 9 and x - 9 = -9
Which means that x = 18 or x = 0