We solve the equation, ( a + a + 1 )^2 = 112 + a^2 + ( a + 1 )^2;
Then, ( 2a + 1 )^2 = 112 + a^2 + a^2 + 2a +1;
4a^2 + 4a + 1 = 113 + 2a^2 + 2a;
Finally, 2a^2 + 2a - 112 = 0;
a^2 + a - 56 = 0;
We use <span>Quadratic Formula for this Quadratic Equation;
The solutions are a1 = 7 and a2 = -8;
But a is a natural number; so, a = 7;
The natural consecutive numbers are 7 and 8.</span>
Answer:
(4,3)
Step-by-step explanation:
Because I just did it.
Answer:
Step-by-step explanation: The answer is 0.5
Answer:
x = 6
Step-by-step explanation:
Combine like terms here (anything with the same variable)
5x - 9x = -4x
6-2x = -4x+6
Add the lowest term in both sides
-2x + 4x = 2x
2x - 6 = 6
Add 6 to make 2x alone in order to get x
2x = 12
Divide both of the sides by 2 because that is how you get x all by itself
x = 6
Its choice d because 1^2 - 5(1) + 6
= 1 - 5 + 6
= 2