Answer:
x = -2 ± sqrt(5)
Step-by-step explanation:
x^2 + 4x – 1= 0
Add 1 to each side
x^2 + 4x – 1+1= 0+1
x^2 +4x = 1
Take the coefficient of x
4
Divide by 2
4/2 =2
Square it
2^2=4
Add it to each side
x^2 +4x+4=1+4
(x+2)^2 = 5
Take the square root of each side
sqrt((x+2)^2 )=± sqrt(5)
x+2 = ± sqrt(5)
Subtract 2 from each side
x+2-2 = -2 ± sqrt(5)
x = -2 ± sqrt(5)
Answer:
18
Step-by-step explanation:
f(x) = x³+4x²-8x-6
P(a) <=> P(x)
-2 | 1 4 -8 -6
|
| -2 -4 24
----------------------------
1 2 -12 18
4(x - 4) + 65 = -3x
4(x) - 4(4) + 65 = -3x
4x - 16 + 65 = -3x
4x + 49 = -3x
- 4x - 4x
49 = -7x
-7 -7
-7 = x
−3b+2.5=4
Subtract 2.5 from both sides.
−3b+2.5−2.5=4−2.5
−3b=1.5
Divide both sides by -3.
−3b/−3 = 1.5/−3
b=−0.5