Question

The roots of the equation, where $aϵR$ are

$x^2+ax-4=0$

• A. Real and distinct
• B. Equal
• C. Imaginary
• D. Real

Answer 1

The correct option is A Real and distinct

The equation can be written as $x^2+ax-4=0$,

$b^2-4a$ will determine the nature of roots.

$⟹b^2-4ac=a^2-4\left(1\right)(-4)$

$⟹b^2-4ac=a^2+16>0$

$\therefore$ roots are real and distinct.