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:
there is no difference
Step-by-step explanation:
Answer:
57 inches
Step-by-step explanation:
It rained 5*6.5+7*3.5=32.5+34.5=57 inches in the past 12 days
Answer:
Step-by-step explanation:
they are opposite angles, so we put them equal to each other.
25.
6a+10= 130
6a=120 a=20 so now we plug it in 6(20) +10= 130
26. 4a-4=2a+30
2a=34 a=17 sso now we plug in 4(17)-4= 64 2(17)+30= 64
27. 6y+1=4y+9 2x-5=x+7
2y=8 x=2
y=4
now plug in 6(4)+1=25 4(4)+9=25 2(2)-5= -1 (2)+7=9