Question

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

$2y^2+11y-7=0$

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

Answer 1

The correct option is B Real and unequal

Discriminant of the equation $2y^2+11y-7=0$

$D=b^2-4ac$

$D=(11{)}^2-4\times 2\times (-7)$

$=121+56$

$=177$

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