If `alpha,beta` are roots of `x^2-3x+a=0` , `a in R` and `alpha <1< beta` then find the value of a.

If alpha,beta are roots of x^(2)+3x+1=0 then

If alpha, beta are the roots of x^(2) - 3x + a = 0 , a in R and lt 1 lt beta, then find the values of a

If alpha, beta are the roots of x^2 – 3x + lambda = 0 (lambda in R) and alpha < 1

If alpha, beta are roots of x^(2)-2x-1=0 , then value of 5alpha^(4)+12beta^(3) is

If alpha, beta be the roots of 4x^(2) - 16x + c = 0, c in R such that 1 lt alpha lt 2 and 2 lt beta lt 3 , then the number of integral values of c is

If alpha,beta are the roots of x^(2)-px+r=0 and alpha+1,beta-1 are the roots of x^(2)-qx+r=0 ,then r is

If alpha, beta are the roots of x^(2)-3x+1=0 , then the equation whose roots are (1/(alpha-2),1/(beta-2)) is

Suppose a in R, a ne - 1//2 . " Let " alpha, beta be roots of (2a + 1) x^(2) - ax + a - 2 = 0 If alpha lt 1 lt beta , then

If alpha and beta are the roots of 2x^(2) - x - 2 = 0 , then (alpha^(3) + beta^(-3) + 2alpha^(-1) beta^(-1)) is equal to