Question

HURRY!!! HURRY!!! HURRY!!!

Answer 1

x = $\frac{3}{2}$ ± $\frac{1}{2}$i

rearrange the equation and equate to zero

2x² - 6x = - 5 ⇒ 2x² - 6x + 5 = 0

this doesn't factor with integers, hence use the quadratic formula to solve

with a = 2, b = - 6 and c = 5

x = (6 ± √(36 - 40 ) )/4

  = (6 ± √(-4) ) / 4

  = (6 ± 2i ) / 4

x = $\frac{3}{2}$ ± $\frac{1}{2}$i

Answer 2

x =  ± i

rearrange the equation and equate to zero

2x² - 6x = - 5 ⇒ 2x² - 6x + 5 = 0

this doesn't factor with integers, hence use the quadratic formula to solve

with a = 2, b = - 6 and c = 5

x = (6 ± √(36 - 40 ) )/4

  = (6 ± √(-4) ) / 4

  = (6 ± 2i ) / 4

x =  ± i

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