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If cos2x + 2cosx - 2 = 0, then cosx = _____.

User Vasily G
by
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1 Answer

3 votes

Answer:

cos x = (-1 + √7) / 2

Explanation:

cos2x + 2cosx - 2 = 0

2cos²x - 1 + 2cosx - 2 = 0

2cos²x + 2cosx - 3 = 0

cos x = (-2 ± √2²-4*2*(-3)) / 2*2

= (-2 ± √28) / 4

= (-1 ± √7) / 2

-1 ≤ cos x ≤ 1

cos x = (-1 + √7) / 2

User Sanandrea
by
4.7k points