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Solution set of 6x2=13x+5

User Maryory
by
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1 Answer

5 votes

Answer:

x = -1/3 x = 5/2

Explanation:

6x^2=13x+5

Subtract 13x from each side

6x^2-13x=13x-13x+5

6x^2-13x=5

Subtract 5 from each side

6x^2-13x-5=5-5

6x^2-13x-5=0

Factor

(3x+1 )(2x - 5 ) =0

Using the zero product property

3x+1 =0 2x-5 =0

3x=-1 2x =5

x = -1/3 x = 5/2

User BlindAndFurious
by
6.1k points