Answer:
x equals plus or minus square root of 5 minus 1
Step-by-step explanation:
we have

Divide by 2 the coefficient of the x-term

squared the number

Adds both sides
 

Rewrite as perfect squares

take the square root both sides


therefore
x equals plus or minus square root of 5 minus 1
 
        
             
        
        
        
Given:
7 red candies
9 blue candies
12 pink candies
Condition:
Number of bags that has equal number of candies.
We can do 7 bags with 1 colored candy each. There will be an excess of 2 blue candies and 5 pink candies.
We can do 4 bags with 1 red candy, 2 blue candies, 3 pink candies. There will be an excess of 3 red candies and 1 blue candy.
We can do 3 bags with 2 red candies, 3 blue candies, 4 pink candies. There will be an excess of 1 red candy.
        
             
        
        
        
Let h =  the number of horses in the field
Let c =  number of cows in the field
There are 2 more horses than cows in the field. Therefore
h = c + 2
 or
 c = h - 2               (1)
There are 15  animals in the field. Therefore
h + c = 15              (2)
Substitute (1) into (2).
h + (h - 2) = 15
2h - 2 = 15
Answer: 
The correct equation is 
2h - 2 = 15
        
                    
             
        
        
        
vertex = (3,- 5 )
given a quadratic in standard form : y = ax² + bx + c ( a ≠ 0 ), then
the x-coordinate of the vertex is
 = -
 = - 
y = x² - 6x + 4 is in standard form
with a = 1, b = - 6 and c = 4, hence
 = -
 = -  = 3
 = 3
substitute this value into the equation for y- coordinate
y = 3² - 6(3) + 4 = 9 - 18 + 4 = - 5
vertex = (3, - 5 ) → second table