Question

Determine the nature of the roots of the given equation from their discriminants.

$2x^2-7x-3=0$

• A. Real and unequal
• B. Real and equal
• C. One real and one imaginary
• D. Both imaginary

Answer 1

The correct option is A Real and unequal

Discriminant of the equation $2x^2-7x-3=0$

$D=b^2-4ac$

$D=(-7{)}^2-4\times 2\times (-3)$

$=49+24$

$=73$

Since, $D>0$ thus, roots are real and unequal