" (iii) "3x^(2)-14x-5=0

3x^(2)+14x+8

Solve by factorization: 3x^(2)-14x-5=0

Solve the following equations by Sridharacharya's formula : (i) x^(2)+x+4=0 (ii) 2x^(2)-2x+3=0 (iii) sqrt(2)x^(2)+x+sqrt(2)=0 (iv) x^(2)-x+2=0 (v) 25x^(2)-30x+11=0 (vi) x^(2)+3x+5=0 (vii) x^(2)-14x+58=0 (viii) x^(2)+13ix -42=0 (ix) x^(2)-11ix-30=0

Solve by factorization: 3x^2-14 x-5=0

Statement-1: The cubic equation 4x^(3) - 15x^(2)+14x-5 = 0 has a root in the internal (2, 3). Statement-2: If f(x) is a polynomial equation which has two real roots alpha, beta (alpha lt beta) , then f(x) = 0 will have a root gamma such that alpha lt gamma lt beta .

If x=5 is the root of a equation kx^(2)-14x-5=0, then find the value of K

Find the nature of the roots of the equations of given below : (a) x^(2) - 13x + 11 =0 (b ) 18x^(2) - 14x + 17 = 0 (c ) 9x^(2) - 36x + 36 = 0 (d) 3x^(2) - 5x - 8 = 0

if alpha,beta,gamma are the roots of 2x^(3)-5x^(2)-14x+8=0 then find alpha+beta+gamma