Out of every two consecutive numbers one will always be even. There is only one even prime number. Whether there are an infinite number of pairs of primes which differ by two (the twin prime conjecture) is still open e.g. 3 , 5; 41 , 43 ; 101 , 103 .
Answers + Step-by-step explanation :
a) the equation should be:
7(n + 5) = 91 since you first add 5 to n and then multiply it by 7. The answer is 91 so that is on the other side of the equal sign
b) we can solve our equation to find for n, the number jim thought of
7(n + 5) = 91
I will use the distributive property.
7n + 35 = 91
Subtract 35 on both sides
7n = 56
Now divide 7 on both sides to find n
n = 8
The number Jim was thinking of was 8! this should be correct, hope this helps!
Step-by-step explanation:
We have,
If a quadratic equation with real coefficients has a discriminant of -36.
The general form of quadratic equation is :
The discriminant of this equation is : 
If D=0, it will have 1 real roots
If D>0, it will have 2 real roots
If D<0, it will have no real roots
We have,
D = -36 < 0, so, the quadratic equation will have no real roots.
One hundred ninety six thousand, nine hundred fifty
A^2 - b^2 = (a-b)(a+b)
To test it, expand the right hand side.
