Given equation is 2x2 + 5x + 3 = 0
Comparing it with the standard Form of Quadratic Equation ax2 + bx + c = 0
As we know, discriminant = b2 - 4ac
Discriminant = (5)2 - 4(2)(3)
Discriminant = 25 - (24)
Using quadratic formula
Roots(x1, x2) = | −b ± √ b2 − 4ac |
2a |
Roots(x1, x2) = | −b ± √ D |
2a |
x1 = | −b + √D |
2a |
= | −(5) + √1 |
2(2) |
= | -5 + 1 |
4 |
= -1 |
x2 = | −b - √D |
2a |
= | −(5) - √1 |
2(2) |
= | -5 - 1 |
4 |
= | -6 |
4 |
?3 |
2
Sum of roots = -b/a Sum of roots = -(5)/(2)
Sum of roots = -2.5
Product of roots = c/a Product of roots = (3)/(2)
Product of roots = 3 / 2
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