Find the value of k for which x = 1/ ✓3 is a
root of the quadratic equation
Kx² + (✓3-✓2)x - 1 = 0.
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Answer:
Kx² + (✓3-✓2)x - 1 = 0
K(1/√3)² + (✓3-✓2)1/√3 - 1 = 0
k/3 + ✓3-✓2 /√3 = 1
k/3 = 1 - ✓3-✓2 /√3
k/3 = √3 - ✓3 + ✓2 /√3
k = 3(✓2 /√3)
k = ✓2 *√3 = √6
Step-by-step explanation:
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