Question

The roots of the equation (a+c-b)x^2 + 2cx + (b+c-a) = 0 are a) real and unequal b) real c) real and equal d) none of these

Answer 1

Answer:

Step-by-step explanation:

The nature of the roots depends upon :

$b^{2} -4ac$

=$(2cx)^{2} -4(a-b+c)(-a+b+c)$

Check if :

If $b^{2} -4ac=0$ then roots are real and equal

If $b^{2} -4ac>0$ then roots are real and unequal

If $b^{2} -4ac<0$ then the roots are imaginary and unequal