Answer:
The roots of equations are as m =
And n =
Step-by-step explanation:
The given quadratic equation is 2 x² + 6 x - 1 = 0
This equation is in form of a x² + b x + c = 0
Let the roots of the equation are ( m , n )
Now , sum of roots = 
And products of roots = 
So, m + n =
= - 3
And m × n = 
Or, (m - n)² = (m + n)² - 4mn
Or, (m - n)² = (-3)² - 4 (
)
Or, (m - n)² = 9 + 2 = 11
I.e m - n = 
Again m + n = - 3 And m - n = 
Solving this two equation
(m + n) + ( m - n) = - 3 + 
I.e 2 m = - 3 + 
Or, m = 
Similarly n =
Hence the roots of equations are as m =
And n =
Answer
There are 9 owners and 11 dogs
9×2=18
11×4=44
44+18=62
You add 7+5 together to get 12, then you multiply 12 by 6 and get 72, then you add the 3 to 72 and get 75. 6(7+5)+3. Hope this helps with the problem!!
Answer:
A. 58, 13,-35,-51
Step-by-step explanation:
Start with the greatest positive number, 58. Then use the next greatest positive number, 13. When it comes to negative numbers, the number with the smaller absolute value is greater.
|-35| = 35
|-53| = 53
-35 has a smaller absolute value than -53, so -35 is greater than -53.
Answer: A. 58, 13,-35,-51
2x + y = 7
substitute
2x + (x+1) =7
combine like terms
3x+1 =7
subtract 1 from each side
3x =6
divide by 3
x=2
y = x+1
y =2+1
y=3
Answer: x=2, y=3