Different condition for location of roots `alpha & beta` of Quadratic equation (i) If `alpha, beta gt0` (ii) If `alpha,beta lt 0` (iii) If `alphalt0ltbeta` (iv)If `alpha,betagtk` (v) If `alpha,betaltk`

Different condition for location of roots alpha& beta of Quadratic equation (i) If alpha;beta>0 (ii) If alpha;beta k(v) If alpha;beta

Write the quadratic equations, if (i) alpha + beta = - 10 , alpha beta = 7 (ii) alpha + beta = 4, alpha beta = - 2

Write the quadratic equations, if (i) alpha + beta = -6, alpha beta = 4 (ii) alpha + beta = 8 , alpha beta = -3

If alpha,beta are the roots of ax^(2)+bx+c-0 then alpha beta^(2)+alpha^(2)beta+alpha beta=

If alpha and beta are the roots of the equation x ^(2) + alpha x + beta = 0, then

If alpha,beta, are the roots of quadratic equation 7x^(2)-13x-2=0 then find (alpha+beta)/(alpha beta)

If alpha,beta are roots of x^(2)-px+q=0 , find the value of (i) alpha^(2)+beta^(2) (ii) alpha^(3)+beta^(3) (iii) alpha-beta , (iv) alpha^(4)+beta^(4) .

If alpha, beta are the roots of the quadratic equation cx^2- 2bx + 4a = 0 then find the quadratic equation whose roots are: (i) alpha/2, beta/2 , (ii) alpha^(2), beta^(2) , (iii) alpha + 1, beta+1 , (iv) (1+alpha)/(1-alpha) (1+beta)/(1-beta) , (v) alpha/beta, beta/alpha

Let alpha,beta be the roots of the equation ax^2+bx+c=0 . A root of the equation a^3x^2+abcx+c^3=0 is (i) alpha+beta (ii) alpha^2+beta (iii) alpha^2-beta (iv) alpha^2beta

Let alpha,beta be the roots of the equation ax^2+bx+c=0 . A root of the equation a^3x^2+abcx+c^3=0 is (i) alpha+beta (ii) alpha^2+beta (iii) alpha^2-beta (iv) alpha^2beta