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
There are many solutions. But what do you mean with a perfect square of a number. I thought a number IS a perfect square or not.
For example, the difference between 2² and 4² = 12, which is twice the number 6, which is √36
The difference between 2² and 6² = 32, which is twice the number 16, which is a perfect square.
So choose depending on your interpretation of the question... ;-)
Answer:
1) y = -2x - 1
2) y = -3/4 + 3
3) y = 4x + 9
4) y = - 5/3x - 2
Step-by-step explanation:
b = y - m*x
1) (-7,13) and slope: -2
b = 13 - (-2)*(-7)
b = 13 - 14
b = -1
2) (4,6) lope = -3/4
b = 6 - (-3/4)*(-4)
b = 6 - 3
b = 3
y = -3/4x + 3
3) (-5,-11) and (3,-7)
Slope: (1 - - 11)/(-2 - - 5) = 12/3
= 4
b = -11 - (4) (-5) = 9
b = 9
4) slope = (-7 - 8)/(3- - 6)
= -15/9 = - 5/3
b = 8 - (-5/3)*(-6)
b = 8 - 10
b = -2
Answer:
<h2>y = -3x + 3</h2>
Step-by-step explanation:
Step-by-step explanation:
v=fgtd (9809)=09843 ans that give 100
