SOLUTION: Please help me !! Solve. Identify all double roots. a) 8y^2 +1 = 6y b) x^4-25x^2 =0 c)(X-3)^3-(x-3)^2= 0 PLEASE HELP!!!!!

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Question 87489: Please help me !!
Solve. Identify all double roots.
a) 8y^2 +1 = 6y
b) x^4-25x^2 =0
c)(X-3)^3-(x-3)^2= 0
PLEASE HELP!!!!!

Answer by rapaljer(4671)   (Show Source): You can put this solution on YOUR website!
A double root occurs when the power of the factor that gives you the root is 2.

a) 8y^2 +1 = 6y


No double roots, since the powers of the factors are not 2.

b) x^4-25x^2 =0


x=0 is of multiplicity 2, since the power of the x factor is 2.

c)(X-3)^3-(x-3)^2= 0


x=3 is of multiplicity 2, since the power of the (x-3) factor is 2.

R^2 Retired from SCC

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