How many solution of equation x^2+y^2=1?
Q.1.How many solution of equation x^2+y^2=1?
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Special question of sum and product of roots
v v Q. (1). If 1,2,3 are the roots of the equation x 3 +ax 2 +bx+c=0 then what is the value of c? Ans. Apply product of roots αβγ= -c/a=- constant term/coefficient of x 3 1x2x3 = -c/1 → 6 = -c → c= - 6 Q.2. If (x+√2) is a factor of kx 2 -√2 x + 1, then what is the value of k? Ans. Putting value of x in given equation so x+ √ 2=0 then x= - √ 2 → k (- √ 2) 2 - √ 2 × (-√ 2) +1 = 0 2k+2+1=0 ...
Sum and product of roots/zeroes
Sum and Product of roots/zeroes of a polynomial- Standard quadratic equation of a polynomial is ax 2 +bx+c=0, where a, b,c is constant. Let α and β are roots of a polynomial then factors are (x- α ) (x- β) = 0 x 2 -xβ-xα+αβ=0 ...
Introduction of polynomial
Polynomial – An expression containing variable and constant, power of variable must be whole number. For example 3+x 2 , 4+6x 2 Standard representation of polynomial-- a 0 +a 1 x+a 2 x 2 +a 3 x 3 +-----------a n x n where a 0 , a 1 , a 2 , ……… a n are real number and also called coefficient of polynomial and n is whole number. Checking polynomial----- its true or false ü X 2 +2x+1 ü X+1/x √ x+1/2 Degree of polynomial— In polynomial highest power of variable is called degree of polynomial. Based on degree there are mainly three types of polynomial 1 .Linear polynomial — a polynomial having degree is 1 is called linear polynomial ...