Answer:
(-3)^2
Step-by-step explanation:
You add 7 on both sides, giving you x^2 - 6x = 7
Then, take half of b, and square it. Giving you x^2 - 6x +(-3)^2 = 7
The answer will be (-3)^2 for this question, but this is not the full solution.
Hope this helped. Good luck on the rest!
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:

Step-by-step explanation:
Two angles are supplementary when they add up to 180°.
So we know that:

Supplanting we get:

We add up the X's.


Then we send 64 to the other side adding:



And then the 8 goes dividing:


Answer:
12
Step-by-step explanation:
A = ½(b1 + b2)h
A = (3 + 5)(3)/2
A = 12
Answer:
216 cm
Step-by-step explanation:
Surface area= 6a
a= 6 cm