Given equation is 4x2 - 27 = x2
Converting given equation into Standard Form of Quadratic Equation. ax2 + bx + c = 0
4x2 - 27 = x2 converted into 3x2 + 0x - 27 = 0
Comparing it with the standard Form of Quadratic Equation ax2 + bx + c = 0
As we know, discriminant = b2 - 4ac
Discriminant = (0)2 - 4(3)(-27)
Discriminant = 0 - (-324)
Using quadratic formula
Roots(x1, x2) = | −b ± √ b2 − 4ac |
2a |
Roots(x1, x2) = | −b ± √ D |
2a |
x1 = | −b + √D |
2a |
= | −(0) + √324 |
2(3) |
= | 0 + 18 |
6 |
= 3 |
x2 = | −b - √D |
2a |
= | −(0) - √324 |
2(3) |
= | 0 - 18 |
6 |
= -3 |
Sum of roots = -b/a
Sum of roots = -(0)/(3)
Product of roots = c/a
Product of roots = (-27)/(3)
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