Question

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5ײ-×=3ײ+1

Answer 1

5x² - x = 3x² + 1

5x² - 3x² - x - 1 = 0

2x² - x - 1 = 0

Δ = b² - 4ac

Δ  = (-1)² - 4(2)(-1)

Δ = 1 + 8

Δ  = 9

x = -b +- √Δ  / 2a

x' = -(-1) + 3 / 2*(2)

x' = 1 + 3 / 4

x' = 4/4

x' = 1

x'' = -(-1) - 3 / 2*(2)

x'' = 1 - 3 / 4

x'' = - 2/4

x'' = - 1/2

S = { - 1/2, 1 }