Answer:
77 and 91
Step-by-step explanation:
So essentially, half 168 and half 14. You're left with 84 and 7. So, subtract 7 from 84 and add 7 to 84. You're left with 77 and 91. To verify, just add them both up and you'll see they equal 168. Then, subtract 77 from 91 and you'll see that 91 is 14 more than 77 :)
The solution of the equation is 
and 
Explanation:
Given that the equation is 
We need to determine the solution of the equation by completing the square.
Thus, we have,
Adding both sides of the equation by 16, we get,
Let us solve by completing the square.
To bring the equation in the form of 
, let us add 
to both of the equations.
Thus, we have,
Simplifying, we get,
Taking square root on both sides of the equation, we get,
Thus, the two solutions of the quadratic equation are
and 
Simplifying the two values, we get,
and
Thus, the roots of the equation are and
Answer:
x = 3
Step-by-step explanation:
take 60 degree as reference angle and using cos rule
cos 60 = adjacent/hypotenuse
1/2 = x/6
do cross multiplication
2*x = 6*1
x = 6/2
x = 3
-5 - 4 -1 4 11 20 31 subtracting:-
1 3 5 7 9 11 subtractiing:-
2 2 2 2 2
second row is 2 so the rule will contain n^2
so we can write the series as n^2 - 6 , n^2 - 8 , n^2 - 10 etc
the numbers are in arithmetical sequence with a1 = 6 and d = -2
so nth term of our sequence is n^2 - a1 + (n - 1)d = n^2 -2n - 6 + 2
= n^2 - 2n - 4 Answer
