Answer:
x = -1 ± √109
Step-by-step explanation:
2x • 3x + (2 • 3)x + 6x = 648
According to PEMDAS (parentheses/exponents | multiplication/division | addition/subtraction), we should solve the parentheses first.
(2 • 3) = 6
Now we have:
2x • 3x + (6)x + 6x = 648
Now let's multiply.
2x • 3x = 6x²
6 • x = 6x
Now we have.
6x² + 6x + 6x = 648
Combine like terms.
6x² + 12x = 648
Let's factor out a 6.
6(x² + 2x) = 648
Divide both sides by 6.
x² + 2x = 108
Let's use completing the square.
Our equation is in a² + bx = c form.
Divide b by 2.
2/2 = 1
Then square it.
1² = 1
Add 1 to both sides.
x² + 2x + 1 = 108 + 1
Simplify.
x² + 2x + 1 = 109
Now we want to factor the left side. A shortcut is just to use b/2.
(x + 1)² = 109
Take the square root of both sides.
x + 1 = ±√109
The square root is as simplified as possible.
Subtract 1 from both sides.
x = -1 ± √109
Hope this helps!
Answer:
354294
Step-by-step explanation:
729/3=243
243*243=59049
59049*6=354294
X is equal to 2. put 2 in for X and try to solve it
Answer:
f(g(x)) = 12x - 37
Step-by-step explanation:
Step 1: Define
f(x) = 6x + 5
g(x) = 2x - 7
Step 2: Find f(g(x))
f(g(x)) = 6(2x - 7) + 5
f(g(x)) = 12x - 42 + 5
f(g(x)) = 12x - 37
Answer: X = 42
Steps:
(3x + 12) + x = 180
3x + 12 + x = 180
4x + 12 = 180
4x = 180 - 12
4x = 168
x = 168/4
x = 42
Check:
(3x + 12) + x = 180
3x + 12 + x = 180
3(42) + 12 + 42 = 180
126 + 12 + 42 = 180
180 = 180 ✅
I would appreciate the brainliest if this was correct and had helpful & clear steps! :)
