Answer:
x = -12
Step-by-step explanation:
First Answer:
x = 12
First Step-by-step explanation:
12 + x = -3(4 - x)
12 + x = -12 + 3x
- x - x
—————————
12 = -12 + 2x
+ 12 + 12
—————————
24 = 2x
24/2 = 2x/2
12 = x
Second Answer:
No solution
Second Step-by-step explanation:
2(x - 1/2) = 8 + 2x
2x - 1 = 8 + 2x
+1 +1
—————————
2x = 9 + 2x
- 2x - 2x
—————————
0 = 9
^^ No solution
Answer:
x = -2 + √7 and x = -2 - √7
Step-by-step explanation:
To ease the solution of this problem, rewrite it in standard quadratic form:
x^2 + 4x - 3 = 0.
One way to solve this is by completing the square. We take 4 (the coefficient of x), halve that, obtaining 2, and then square the result, obtaining 4.
Add 4 to x^2 + 4x, and then subtract 4:
x^2 + 4x + 4 - 4 - 3 = 0, or (x + 2)^2 = 7
Taking the sqrt of both sides, we get x + 2 = plus or minus √7.
The solutions are thus x = -2 + √7 and x = -2 - √7.
Answer:
10
Step-by-step explanation:
If n = 11 and p = 5, we can just substitute the values in for n and p in the equation 18 - n - 2 + p.
The new equation would be 18 - 11 - 2 + 5.
Using PEMDAS, we get the answer of 10.
18 - 11 = 7
7 - 2 = 5
5 + 5 = 10
Hope this helps!