# SOLUTION: Determine the nature of the solutions of the equation. y^2=1/8y+3/5

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 Click here to see ALL problems on Exponential-and-logarithmic-functions Question 430485: Determine the nature of the solutions of the equation. y^2=1/8y+3/5Answer by stanbon(57387)   (Show Source): You can put this solution on YOUR website! Determine the nature of the solutions of the equation. y^2=(1/8)y+3/5 ---- Multiply thru by 40 to get: 40y^2 = 5y + 24 --- 40y^2-5y+24 = 0 ---- Check the determinant: b^2-4ac = 25-4*50*24 < 0 --- So It has two unequal complex roots. ============ Cheers, Stan H.