x C -b8. If a, b, c are three real numbers, then number of real roots

1.	x C -b8. If a, b, c are three real numbers, then number of real roots of cx a 0 isb -a X(1) Zero(2) One(4) Three(3) Two
Answer» upon calculating the determinant, we get ∆ =x(x²+a²)-c(-cx-ab)-b(ac-bx) = 0∆ = x³+ x(a²+b²+c²) + 2abc = 0 since it is a cubic polynomial , so 3 roots are possible . the question is how many real roots?

x C -b8. If a, b, c are three real numbers, then number of real roots of cx a 0 isb -a X(1) Zero(2) One(4) Three(3) Two

Answer»

upon calculating the determinant, we get

∆ =x(x²+a²)-c(-cx-ab)-b(ac-bx) = 0∆ = x³+ x(a²+b²+c²) + 2abc = 0

since it is a cubic polynomial , so 3 roots are possible .

the question is how many real roots?