1/4x + 3 = 2x - 5/8
Find least common multiplier of 4x,8 is 8x
Multiply by LCM = 8x
1/4 x * 8 x + 3 * 8 x = 2 x * 8 x - 5/8 * 8 x
Refine:
2 + 24 = 16 x² - 5 x
Subtract 16 x² - 5 x from both sides:
2 + 24 x - ( 16 x² -5 x) = 16 x² - 5 x - (16 x²-5 x)
Refine: - 16 x² - 29 x + 2 = 0
Solving with the quadratic formula :
for a = - 16 , b = 29 and c = 2
x1 = - 29 √ 29² - 4(-16)*2
-----------------------------
2 (-16)
x1 = - √ 969 - 29
---------------------
32
x2 = - 29 - √ 29² -4(-16)*2
-----------------------------
2(-16)
x2 = √ 969 + 29
---------------------
32
The final solutions to the quadratic equation are:
x1 = - √ 969 - 29
-------------------
32
x2 = √ 969 + 29
-------------------
32
hope this helps!
-7/10 divided by 2/5 is -35/20 or -7/4 in the simplest form
-1/4 times (-4/3) is 4/12 or 1/3 in the simplest form
-3 1/3 or -10/3 times by -2 7/10 or -27/10 is 270/30 or 9
-10 2/7 or -72/7 divided by -4 4/11 or -48/11 is 792/336 or 33/14 in the simplest from
Answer:
Step-by-step explanation:
We want to find a third degree polynomial with zeros <em>x </em>= 2 and <em>x</em> = 2i and f(-1) = 30.
First, note that by the Complex Root Theorem, since <em>x</em> = 2i is a root, <em>x</em> = -2i must also be a root.
Hence, we will have the three factors:
Where <em>a</em> is the leading coefficient.
Expand and simplify the second and third factors:
Hence:
Since f(-1) = 30:
In conclusion, third degree polynomial function is:
Answer:
G and E
Step-by-step explanation:
