Solve:
"<span>twice the number minus three times the reciprocal of the number is equal to 1."
3(1)
Let the number be n. Then 2n - ------- = 1
n
Mult all 3 terms by n to elim. the fractions:
2n^2 - 3 = n. Rearranging this, we get 2n^2 - n - 3 = 0.
We need to find the roots (zeros or solutions) of this quadratic equation.
Here a=2, b= -1 and c= -3. Let's find the discriminant b^2-4ac first:
disc. = (-1)^2 - 4(2)(-3) = 1 + 24 = 25.
That's good, because 25 is a perfect square.
-(-1) plus or minus 5 1 plus or minus 5
Then x = ------------------------------ = --------------------------
2(2) 4
x could be 6/4 = 3/2, or -5/4.
You must check both answers in the original equation. If the equation is true for one or the other or for both, then you have found one or more solutions.</span>
Is that a with 4 vertices ,,,check your question
Answer:
Step-by-step explanation:
The diagonals of a rectangle always bisect each other. Therefore, we can set 
:
Answer:
So the exchange rate is that each dollar is worth 70.4 yens.
Step-by-step explanation:
We have that:
1 euro is priced at $1.25
1 euro will also buy 88 Japanese yen
This also means that:
$1.25 is priced at 88 Japanese yen
How much is the cross rate between the yen and the dollar (yen per dollar exchange rate)?
How much yens is 1 dollar?
This can be solved by a simple rule of three.
$1.25 - 88 yen
$1 - x yen
So the exchange rate is that each dollar is worth 70.4 yens.
