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I need help with the following problem

0 votes
1) 2x^2-3x=-1

2) (x-5)(x+2)=8

3) 4x^2-9/8x^3-27

4) 3x^2-7xy+2y/12x^2+11xy-5y^2/5x-10y/16x^2+40xy+25y^2
asked Dec 1, 2014 in ALGEBRA 2 by doan12345 Pupil
reshown Dec 1, 2014 by yamin_math

4 Answers

+1 vote

1)

2x² - 3x = -1

2x² - 3x +1 = 0

2x² - 2x –x +1 = 0

2x ( x – 1) –1( x -1 ) = 0

( x – 1) ( 2x –1 ) = 0

Solution : Factorized Form is   ( x – 1) ( 2x –1 ) = 0.

answered Dec 1, 2014 by Shalom Scholar
+1 vote

2)

( x - 5 ) ( x + 2 ) = 8

x ( x + 2 ) - 5 ( x + 2 ) = 8

x² + 2x - 5x - 10 = 8

x² - 3x - 10 - 8 = 0

x² - 3x - 18 = 0

x² - 6x + 3x - 18 = 0

x ( x – 6) – 3( x - 6 ) = 0

(x - 6) ( x - 3 ) = 0

Solution : Factorized Form is   ( x – 6) ( x –3 ) = 0.

answered Dec 1, 2014 by Shalom Scholar
+1 vote

3) Given function

image

image

image

Apply formulas : imageimage

image

image

image

image

 

answered Dec 1, 2014 by Shalom Scholar
+1 vote

4) Given function is image

 

 

image

image

Now factorize all expressions separately

     image

     image

 

     image

   image

 

    image

     image

 

image

image

image

Solution : (1/5)(x+5y).

answered Dec 1, 2014 by Shalom Scholar

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