Answer:
Step-by-step explanation:
Second one is faster, so let's get rid of it first.
Divide by 2 to make numbers easier, and we get
. You should recognize 81 is 9 squared, and both 
and 
, when squared, give 81, we have our solution.
Now the first. I can't spot any quick trick to solve it, so quadratic formula it is. Let's rememer it: if
then
Let's bring the first equation in the standard form and calculate the quantity over the square root (usually called with the greek letter delta, 
) to the side.
now we can apply the formula:
Let's split the two cases now
Answer:
sorry cant see the question
Step-by-step explanation:
Answer:
Step-by-step explanation:
In the first part the given polynomial is 
, we have to divide this polynomial by (x-1) using synthetic division.
Here are the steps of synthetic division
Step 1: Set up the synthetic division table in which the coefficients are written in descending power of x.
Step 2: Drop down the leading coefficient i.e the coefficient of highest power of x to the bottom row.
Step 3: Multiply a by the value just written on the bottom row and write this value just down of the number written next of leading coefficient. Here, a is 1(taken from divisor)
Step 4: Add the column made in step 3. Repeat these steps until the last column reached.
In the second part,
It is given that divisor polynomial is the factor of given polynomial then we have to tell the remainder which is 0 because if divisor polynomial is the factor the it will completely divide the given polynomial which gives remainder 0.
In the third part,
Given when one uses the synthetic division to divide by (x-3) then what number is used to multiply each term that is dropped down or added.
As explained the steps of synthetic division in first part
x-3=0 ⇒ x=3 which is a
In step 3, Multiply a by the value just written on the bottom row and write this value just down of the number written next of leading coefficient. So, 3 is multiplied.
As explained in Step 2: Drop down the leading coefficient i.e the coefficient of highest power of x to the bottom row.
The columns which is formed by above steps are added.
Answer:
x = 18.75
Step-by-step explanation:
The angles are alternate interior angles and alternate interior angles are equal when the lines are parallel
3x-10 = 65-x
Add x to each side
3x-10+x = 65-x+x
4x-10 = 65
Add 10 to each side
4x-10+10 = 65+10
4x = 75
Divide each side by 4
4x/4 = 75/4
x = 18.75
