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03-06-2021
Mathematics

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5x²—3x—2=0 by completing the square method

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mathmate mathmate

03-06-2021

Answer:

{1, -2/5}

Step-by-step explanation:

5x^2 - 3x -2 = 0

x^2 - (3/5)x - 2/5 = 0

( x - (3/10) )^2 - (3/10)^2 - 2/5 = 0

( x - (3/10) )^2 = 2/5+9/100

( x - (3/10) )^2 = (7/10)^2

Take square roots on both sides

x - 3/10 = +/- 7/10

x = 3/10 +/- 7/10

= { 1, -2/5 }

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