Answer:
41. <u>(2) x² - 3x - 4 =0</u>
Step-by-step explanation:
<u>Question 41</u>
<u>Standard form of polynomial</u>
- x² - (sum of roots) + product of roots = 0
- <u>(2) x² - 3x - 4 =0</u>
Answer:
2(x - 3)
Step-by-step explanation:
Answer:
Answer:
Step-by-step explanation:
(a) 4x2 -- 3x - 2 = 0
x1,2 = -b ± √b²- 4ac
---------------------
2a
x1,2 = 3 ±√41
--------------
8
(b) (2x - 3)2 = 6
4x² -12x + 9 -6 = 0
4x² - 12 x + 3 = 0
Step-by-step explanation:
(a) 4x2 -- 3x - 2 = 0
x1,2 = -b ± √b²- 4ac
---------------------
2a
x1,2 = 3 ±√41
--------------
8
(b) (2x - 3)2 = 6
4x² -12x + 9 -6 = 0
4x² - 12 x + 3 = 0
Answer:
k = 1/2
y = -108
Step-by-step explanation:
y varies jointly as x and the cube of z
y =kxz^3
We know y=16 when x=4 and z=2 so we can determine k
16 = k (4) 2^3
16 = k*4*8
16 = 32k
Divide each side by 32
16/32 = 32k/32
1/2 = k
y = 1/2 xz^3
Now y=? when x=-8 and z=-3
y = 1/2 * 8 (-3)^3
y = (1/2) *8 (-27)
y =4 (-27)
y = -108
Answer: x=-6
Step-by-step explanation:
Add 5 to both sides to get 2x by itself
Yes, subtract 1 from both sides to get 3x by itself so you can subtract 2x as to not get a negative x value
One common mistake would be to accidentaly adding or subtracting 1 or 5 when they are supposed to be added/subtracted. To avoid this just go back and check your awnser by plugging it in.
