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Solve: 2x^2 = 7x - 5 (there are two answers)

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tamanimat | Student, Grade 11 | Salutatorian

Posted April 15, 2013 at 2:10 AM via web

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Solve:

2x^2 = 7x - 5

(there are two answers)

2 Answers | Add Yours

Top Answer

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jeew-m | College Teacher | (Level 1) Educator Emeritus

Posted April 15, 2013 at 2:18 AM (Answer #1)

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`2x^2-7x+5 = 0`

`2x^2-2x-5x+5 = 0`

`2x(x-1)-5(x-1) = 0`

`(x-1)(2x-5) = 0`

 

The answers are

x = 1 or x = 5/2

Sources:

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oldnick | Valedictorian

Posted April 15, 2013 at 4:14 PM (Answer #2)

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`2x^2=7x-5`

`2x^2-7x=5`

`x^2-7/2 x=5/2```

`x^2-2 7/4x +49/16= 9/16`

`(x-7/4)^2=9/16`

`x-7/4=+- 3/4`

`x= 7/4+-3/4`

`x_1= 5/2 `

`x_2=1`

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