Home
Class 11
MATHS
If the equation a x^2+b x+c=x has no rea...

If the equation `a x^2+b x+c=x` has no real roots, then the equation `a(a x^2+b x+c)^2+b(a x^2+b x+c)+c=x` will have a. four real roots b. no real root c. at least two least roots d. none of these

Promotional Banner

Similar Questions

Explore conceptually related problems

If the equation |x^(2)+bx+c|=k has four real roots,then

If a,b,c,d in R, then the equation (x^(2)+ax-3b)(x^(2)-cx+b)(x^(2)-dx+2b)=0 has a.6 real roots b.at least 2 real roots c.4 real roots d.none of these

The equation |x-a|-b|=c has four distinct real roots,then

If the equation ax^(2)+bx+c=0 has two positive and real roots,then prove that the eqsition ax^(2)+(b+6a)x+(c+3b)=0 has at least one positive real root.

The roots of the equation (b-c)x^(2)+(c-a)x+(a-b)=0

If f(x)=x has non real roots, then the equation f(f(x))=x (A) has all real and unequal roots (B) has some real and non real roots (C) has all real and equal roots (D) has all non real roots

If the roots of the equation x^(2)+2cx+ab=0 are real unequal,prove that the equation x^(2)-2(a+b)x+a^(2)+b^(2)+2c^(2)=0 has no real roots.

If a,b,c in R and the quadratic equation x^(2)+(a+b)x+c=0 has no real roots then