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>
Answer:
a=6
Step-by-step explanation:
-6(2+(6)=-48
-6(2+6)=-48
(-6X2)+(-6+6)=-48
(-12)+(-36)=-48
-48=-48
They are equal. Tell me if I made a mistake. Thanks!
Answer:
$1,824
Step-by-step explanation:
57*32 = 1,824.
Answer:
35/100 *80=25
Step-by-step explanation:
Answer:
If i did this right the answer would be 69
I converted the inches to feet (might be my first mistake)
so i get 2.5 X 1 X 1 to get 2.5
i then multiply that by 62.4 to get 156
then 225-156 = 69
Step-by-step explanation:
