• The value of the discriminant ,D= -16
,
• The solution to the quadratic equation is
Step - by - Step Explanation
What to find?
• The discriminant d= b² - 4ac
,
• The solution to the quadratic equation.
Given:
5x² - 2x + 1=0
Comparing the given equation with the general form of the quadratic equation ax² + bx + c=0
a=5 b=-2 and c=1
Uisng the quadratic formula to solve;
![x=\frac{-b\pm\sqrt[]{b^2-4ac}}{2a}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B-b%5Cpm%5Csqrt%5B%5D%7Bb%5E2-4ac%7D%7D%7B2a%7D)
The discriminant D=b² - 4ac
Substitute the values into the discriminant formula and simplify.
D = (-2)² - 4(5)(1)
D = 4 - 20
D = -16
We can now proceed to find the solution of the quadratic equation by substituting into the quadratic formula;
![x=\frac{-(-2)\pm\sqrt[]{-16}}{2(5)}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B-%28-2%29%5Cpm%5Csqrt%5B%5D%7B-16%7D%7D%7B2%285%29%7D)
Note that:
√-1 = i
![x=\frac{2\pm\sqrt[]{16\times-1}}{10}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B2%5Cpm%5Csqrt%5B%5D%7B16%5Ctimes-1%7D%7D%7B10%7D)
![x=\frac{2\pm\sqrt[]{16}\times\sqrt[]{-1}}{10}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B2%5Cpm%5Csqrt%5B%5D%7B16%7D%5Ctimes%5Csqrt%5B%5D%7B-1%7D%7D%7B10%7D)
That is;
<span>You are given a card is picked from a standard deck of 52 cards. You are asked to determine the odds against and the odds in favor of selecting a 10. There are a total of 52 cards in a deck. In selecting a 10 of any card, you get four 10's in all kinds of cards (spade, clover, heart, diamond). So to solve for the probability of the odds in favor of selecting a 10, divide four by 52 and you get 10/52 or 5/26. To solve for the probability of the odds against selecting a 10, subtract four from 52 and you will get 48 and then divide it by 52 so 48/52 or 12/13. </span>
<h3>Given</h3>
1 (female) pharmacist counting prescriptions at the end of the day
(prescriptions for antibiotics) = (7/4)×(prescriptions for tranquilizers)
33 = (prescriptions for tranquilizers) + (prescriptions for antibiotics)
<h3>Find</h3>
The number of (prescriptions for tranquilizers)
<h3>Solution</h3>
Let <em>x</em> represent the number of <em>prescriptions for tranquilizers</em>. Then the number of prescriptions for antibiotics is (7/4)x, and the total number of prescriptions is
... 33 = x + (7/4)x . . . . . . . . . . put the given information in the given relation
... 33 = (4/4)x + (7/4)x . . . . . . rewrite 1 as 4/4 so we can add to 7/4
... 33 = ((4+7)/4)x = (11/4)x . . . simplify
... 33×(4/11) = (4/11)×(11/4)x . . . multiply by the reciprocal of the coefficient of x
... 12 = x . . . . . . . . . . . . . . . . . simplify
The pharmacist had 12 prescriptions for tranquilizers.
The pharmacist had 33-12 = 21 prescriptions for antibiotics.
There was 1 pharmacist and 33 prescriptions.
Answer:
208.837209
Step-by-step explanation:
Data provided in the question:
The output of 35920 / 172 on calculator = 208.837209
Now,
All the digits or figures that are non-zero are considered as significant figures.
also, the number zero between any two consecutive number is considered as significant figure.
Thus,
for the given output the all the non-zero digits are significant, also the zeros are between the two consecutive number
Hence, the correct answer is 208.837209
