+8581 Which of the following is a root of the polynomial 2x2 – 6x + 3?
A. € 6 + 30 4 B. € 3+ 3 2 C. € 6 + 3i 2 4 D. € 3+ 3
+8581 Sorry.. The answer's look terrible! I'll fix them (:
A. 6 + square root 30
-----------------------------
4
B. 3 + Square root 3
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2
C. 6+3i Square root 2
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4
D. 3 + Square root 3
E. -3 + square root 3
----------------------------
2
Better :)
If you use the Quadratic Formula you'll wid up with
(6 +- 2sqrt3)/4 = (3 +-sqrt3)/2 So 'B' is one of the roots
~jc
+128731 2x^2 – 6x + 3
Using the Quad Formula where a = 2, b = -6 and c = 3, we have
[ -(-6) plus/minus sqrt [ (-6)^2 - 4(2)(3] / [ 2(2)] =
[ 6 plus/minus sqrt [ 36 - 24] / [2*2] =
[6 plus/minus sqrt (12)] / [2*2] =
[3 plus/minus sqrt(3)] / [2] =
[3 + sqrt(3)] / 2 → (B)
