Given equation is x2 = 3x + 4
Converting given equation into Standard Form of Quadratic Equation. ax2 + bx + c = 0
x2 = 3x + 4 converted into x2 - 3x - 4 = 0
Comparing it with the standard Form of Quadratic Equation ax2 + bx + c = 0
As we know, discriminant = b2 - 4ac
Discriminant = (-3)2 - 4(1)(-4)
Discriminant = 9 - (-16)
Using quadratic formula
Roots(x1, x2) = | −b ± √ b2 − 4ac |
2a |
Roots(x1, x2) = | −b ± √ D |
2a |
x1 = | −b + √D |
2a |
= | −(-3) + √25 |
2(1) |
= | 3 + 5 |
2 |
= 4 |
x2 = | −b - √D |
2a |
= | −(-3) - √25 |
2(1) |
= | 3 - 5 |
2 |
= -1 |
Sum of roots = -b/a
Sum of roots = -(-3)/(1)
Product of roots = c/a
Product of roots = (-4)/(1)
© 2020-2030 Amibba Systems Private Limited. All rights reserved.