Answer:
The roots are;
x = (2 + i)/5 or (2-i)/5
where the term i is the complex number representing the square root of -1
Step-by-step explanation:
Here, we want to use the completing the square method to solve the quadratic equation;
f(x) = -5x^2 + 4x -1
Set the function to zero
0 = -5x^2 + 4x - 1
So;
-5x^2 + 4x = 1
divide through by the coefficient of x which is -5
x^2 - 4/5x = -1/5
We now take half of the coefficient of x and square it
= -2/5^2 = 4/25
add it to both sides
x^2 - 4x/5 + 4/25= -1/5 + 4/25
(x- 2/5)^2 = -1/5 + 4/25
(x - 2/5)^2 = -1/25
Take the square root of both sides
x - 2/5 = √( -1/25
x - 2/5 = +i/5 or -i/5
x = 2/5 + i/5 or 2/5 - i/5
Answer:
100 times
Step-by-step explanation:
125x100=12500
because its an estimate this is the closest value
Simplify -45/6 to -15/2, and your answer as a decimal will be -7.5.
The average number of strokes per hole which is hit by the Clare in a round of mini-golf is 3. Clare's statement is correct.
<h3>What is the average of a group of numbers?</h3>
The average of the group of numbers is the ratio of the sum of all the numbers of the group to the total number of the group.
In a round of mini-golf, clare records the number of strokes it takes to hit the ball into the hole of each green.
She said that, if she redistributed the strokes on different greens, she could tell that her average number of strokes per hole is 3.
The sum of all his stroke is,

Here, the total number of stroke she hit is 9. Thus, the average number of strokes per hole is,

Thus, the average number of strokes per hole which is hit by the Clare in a round of mini-golf is 3. Clare's statement is correct.
Learn more about the average here;
brainly.com/question/20118982
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