If P(x) be a quadratic function and roots are 3,5` find P(x).

Find the nature of the roots of the quadratic equations. If real roots exist, find them 2x^(2)-3x+5=0

Find the nature of the roots of the quadratic equations. If real roots exist, find them 3x^(2)-4sqrt(3)x+4=0

Find the nature of the roots of the quadratic equations. If real roots exist, find them 2x^(2)-6x+3=0

If the roots of a quadratic equation be p+q and p-q, then find the equation.

Find the quadratic equation whose roots are the cubes of the roots of x^2-4x+3=0 .

The quadratic equation x^2+m x+n=0 has roots which are twice those of x^2+p x+m=0a dm ,na n dp!=0. The n the value of n//p is _____.

Let p and q be real numbers such that p!=0,p^3!=q ,and p^3!=-qdot If alpha and beta are nonzero complex numbers satisfying alpha+beta=-p and alpha^3+beta^3=q , then a quadratic equation having alpha//beta and beta//alpha as its roots is A. (p^3+q)x^2-(p^3+2q)x+(p^3+q)=0 B. (p^3+q)x^2-(p^3-2q)x+(p^3+q)=0 C. (p^3+q)x^2-(5p^3-2q)x+(p^3-q)=0 D. (p^3+q)x^2-(5p^3+2q)x+(p^3+q)=0

Find the values of the parameter a for which the roots of the quadratic equation x^2+2(a-1)x+a+5=0 are opposite in sign

Find the roots of the quadratic equations by factorisation: x(x+4)=12

Find the roots of the quadratic equations by factorisation: 3(x-4)^(2)-5(x-4)=12