If theroots of the equation `ax^2-2bx + c = 0` are imaginary, find the number of real roots of `4e^x+ (a +c)^2 (x^3 + x) = 4b^2 x`.

Similar Questions

Explore conceptually related problems

If roots of the equation ax^(2)+2(a+b)x+(a+2b+c)=0 are imaginary then roots of the equation ax^(2)+2bx+c=0 are

If the roots of the equation x^(2)-bx+c=0 are two consecutive integers,then find the value of b^(2)-4c.

Suppose 1,2,3 are the roots of the equation x^4 + ax^2 + bx + c = 0 . Find the value of c.

If the roots of the equation bx^(2)+cx+a=0 be imaginary then fro all real value4s of x the expression 3b^(2)x^(2)+6bcx+2c^(2) is

If the roots of the equation ax^2 + bx + c = 0, a != 0 (a, b, c are real numbers), are imaginary and a + c < b, then

IF the equation 4x^2+2bx+c=0,b=0 , find the relation between the roots of the equation.

If the roots of the equation ax^(2)+bx+c=0,a!=0(a,b,c are real numbers),are imaginary and a+c

If x is real and the roots of the equation ax^(2)+bx+c=0 are imaginary,then prove tat a^(2)x^(2)+abx+ac is always positive.

If the roots of ax^(2)+b(2x+1)=0 are imaginary then roots of bx^(2)+(b-c)x=c+a-b are