If the cubic equation `3x^3 +px +5=0` has exactly one real root then show that ` p gt 0`

If the equation x^(2) + 5x + K = 0 has real and distinct roots, then….

IF the equation x^2+5x+K=0 has no real and distinct roots, then………

p and q are distinct prime numbers and if the equation x^2 -px +q=0 has positive integer as its roots then the roots the roots of the equation are

if the equation (3x ) ^(2) +(27 xx 3 ^(1//p) - 15 ) x+4=0 has equal roots then p=

If the equation x^5 -3x^4 -5x^3 +27 x^2 - 32 x +12=0 has repeated roots , then the prime number that divides the non repeated root of this equation is

Find the roots of the equation 3x^(2)+2x-5=0