Find the real solutions of this equation. If there is no real solution enter NONE.
(3X+1)^1/2=8
Is the answer 2.93
Is this calculus or simple reasoning?
If the latter:
(3x+1)^1/2=8
square both sides
=3x+1=64
=3x=63
x=63/3
x=21
Use a graph of f or some other method to determine what, if any, value to assign to f(a) to make f continuous at x = a. HINT [See Example 2.] (If there is no such value, enter NONE.)
f(x) =
x^2 + 11x + 18/x + 2
; a = −2
To find the real solutions of the equation (3X + 1)^(1/2) = 8, we need to isolate the variable X.
First, square both sides of the equation to remove the square root:
[(3X + 1)^(1/2)]^2 = 8^2
Simplifying, we have:
3X + 1 = 64
Now, we isolate X by subtracting 1 from both sides:
3X = 64 - 1
3X = 63
To solve for X, divide both sides by 3:
X = 63/3
Simplifying further, we get:
X = 21
So, the real solution to the equation is X = 21.
The answer is not 2.93.