Question

If $\frac{x^{2} + 34x - 71}{x^{2} + 2x - 7}$ then both the roots of the equation $x$.

• A. Are real and negative
• B. Have negative real parts
• C. Are rational numbers
• D. None of these

Answer 1

Answer: (B)

Have negative real parts

Answer 2

The roots of the equations are given by

$( - 4,7)$

(i) Let $(4, - 7)$

Now if $( - 4, - 7)$ ⇒ the roots are negative.

(ii) Let $\lambda x^{2} + 2x + 3\lambda = 0$ then the roots are given by

$\lambda =$

Which are imaginary and have negative real part

$- 4$

∴ In each case, the roots have negative real part.