Quadratic equation, If roots of (x-p)(x-q) = c are a and b what will be th...

If roots of (x-p)(x-q) = c are a and b what will be the roots of (x-a)(x-b) = -c    please explain? Ans) (x-p)(x-q)=c x2-(p+q)x-c=0 hence,   a+b=p+q  and      a.b=pq-c

Explanation of rational expression,

Critical points, Critical Point Definition : We say that x = c is a critic...

Critical Point Definition : We say that x = c is a critical point of function f(x) if f (c) exists & if either of the given are true. f ′ (c ) = 0        OR             f ′ (c

Logarithms, We know that 2 4 = 16 and also that 2 is referred to as ...

We know that 2 4 = 16 and also that 2 is referred to as the base, 4 as the index or power or the exponent. The same if expressed in terms of logarithms would be log 2

Alternate notation of derivative, Alternate Notation : Next we have to dis...

Alternate Notation : Next we have to discuss some alternate notation for the derivative. The typical derivative notation is the "prime" notation. Though, there is another notation

Domain and range of a relation, Consider R be a relation from A to B, that ...

Consider R be a relation from A to B, that is, take R A Χ B. Then Domain R = {a: a € A, (a, b) € R for any b € B} i.e. domain of R is the set of all the first components of

Time yourself tests 1-4, 1/4+1/2+1/2

1/4+1/2+1/2

Theory of numbers, show that all primes except 2, are of the form 4n-1 or 4...

show that all primes except 2, are of the form 4n-1 or 4n+1

What is the total balance of an account after 18 months, A certain bank pay...

A certain bank pays 3.4% interest per year for a certificate of deposit, or CD. What is the total balance of an account after 18 months along with an initial deposit of $1,250?

Prove that the length of the altitude on the hypotenuse, If A be the area o...

If A be the area of a right triangle and b one of the sides containing the right angle, prove that the length of the altitude on the hypotenuse is 2  Ab /√ b 4 +4A 2 . An