roots of the equation

In a DeltaABC , if a = 4, b = 3 and angleA=60^(@) , then c is a root of the equation

For the equation : x^2+18 x+30=2sqrt(x^2+18 x+45)dot (a) product of real root of the equation is 20 (b) sum of real root of the equation is-18 (c) product of real root of the equation is-20 (d) sum of real root of the equation is 18

One root of the quadratic equation 8x^(2)+mx+15=0 is (3)/(4) . Find the value of m. Also, find the other root of the equation.

Find all the number 'a' for which any root of the equation sin 3x =a sin x +(4-2|a|)sin^(2) x is a root of the equation sin 3x + cos 2 x =1+2 sinx cos 2x and any root of the latter equation is a root of the former .

Statement -1 : A root of the equation (2^(10)-3)x^(2)-2^(11)x +2^(10)+3 =0 " is " 1 and Statement-2 : The sum of the coefficients of a quadratic equation is zero, then 1 is a root of the equation.

Find the root of the equation |x-1|^(x^(2)+x-2)=1

IF 3+i is a root of the equation x^2 + ax + b=0 then a=

If one root of the equation x^2+px+q=0 is the square of the other then

The number of real root of the equation e^(x-1)+x-2=0 , is