Correct Answer - Option 1 :
\(\frac{5}{2}, -2\)
Given:
2x2 – 5x – 4 = 0
Formula used:
Sum of roots = – b/a
Product of roots = c/a
Concept used:
ax2 + bx + c = 0
Calculation:
2x2 – 5x – 4 = 0
⇒ Standard equation is ax2 + bx + c = 0
On comparing
⇒ a = 2, b = – 5, c = – 4
Sum of roots = – b/a
⇒ Sum of roots = – (– 5/2)
⇒ Sum of roots = 5/2
Product of roots = c/a
⇒ Product of roots = – 4/2
⇒ Product of roots = – 2
∴ The sum of roots and product of roots for the given quadratic is 5/2 and – 2