Mathematics questions
18011 published questions with worked solutions.
- If the cube roots of unity are 1, , ^2, then the roots of the equation (x-2)^3+27=0 are
- The number of real roots of the equation (x+ 1x )^3+x+ 1x=0 is
- Both the roots of the given equation (x-a)(x-b)+(x-b)(x-c)+(x-c)(x-a)=0 are always
- The solution of the equation 2x^3-x^2-22x-24=0 when two of the roots in the ration 3:4, is
- The roots of |x-2|^2+|x-2|-6=0 are
- The values of x and y that satisfy the equation (x,y real numbers) x^2-xy+y^2-4x-4y+16=0 is
- The number of real roots of the equation x^4+ x^4+20 =20 is
- If 32+ 72i is a solution of the equation ax^2-6x+b=0, where a and b are real numbers, then value of a+b is equal to
- The roots of (x-a)(x-a-1)+(x-a-1)(x-a-2)+(x-a)(x-a-2)=0, a R are always
- The real roots of the equation x^ 2/3 -x^ 1/3 -2=0 are
- If one root of the equation x^2+px+12=0 is 4, while the equation x^2+px+q=0 has equal roots, then the value of q is
- The quadratic equation x^2+15|x|+14=0 has
- If the roots of the given equation ( p-1)x^2+( p)x+ p=0 are real, then
- Number of roots of the equation x- 2 x-1 =1- 2 x-1 is
- The equation 34 ( _2x )^2+ _2x- 54= _x 2 has
- If a,b,c are the sides of the triangle ABC such that a b c and x^2-2(a+b+c)x+3 (ab+bc+ca)=0 has real roots, then
- If the roots of the quadratic equation x^2-4x- _3a=0 are real, then the least value of a is
- The real root of the equation x^3-6x+9=0 is
- If one of the root of the equation x^2+ax+3=0 is 3 and one of the roots of the equation x^2+ax+b=0 is three times the other root,...
- Let f(x)=x^2+ax+b, where a,b R. If f(x)=0 has all its roots imaginary, then the roots of f(x)+f'(x)+f''(x)=0 are