Lets say that integer is x so its consecutive number is x+1.
x+ 7+4(x+1)=66
x+7+4x+4=66
5x+11=66
5x=55
x=11
next number is 12
Answer:
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Step-by-step explanation:
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(w-2)^2 = 63
FOIL left hand side:
(w-2)^2 = w^2 - 4w + 4
So,
w^2 - 4w + 4 = 63
w^2 - 4w - 59 = 0
Then use quadratic equation to get values of w = 2 + 3*root(7) and w = 2 - 3*root(7).
±
3
√
7
Here the right side of the 2 equations (which are different) both equal y
so 0 solutions
The key here is to not worry too much and just follow PEMDAS.
Here we have the expression 
. Following PEMDAS, we complete the expression inside the parentheses first, or 
. This gives us 
or just 
Hope this helps.
