Question

The equation $x^2+5\sqrt{5}x-70=0$ has

• A. real and unequal roots
• B. real and equal roots
• C. both imaginary roots
• D. one real and one imaginary roots

Answer 1

The correct option is A real and unequal roots

Given:

$x^2+5\sqrt{5}x-70=0$

Discriminant, $D=(5\sqrt{5}{)}^2-(4\left)\right(1\left)\right(-70)$
$=\left(25\right)\left(5\right)+280$
$=125+280=405>0$

$\therefore$ The real and distinct roots exists.
Hence, option A.