+0  
 
+1
178
2
avatar+1317 

Help me, please...

Solve this equation

2x-7x+5

ManuelBautista2019  Nov 27, 2017
 #1
avatar
+1

Solve for x:
2 x^2 - 7 x + 5 = 0

 

The left hand side factors into a product with two terms:
(x - 1) (2 x - 5) = 0

 

Split into two equations:
x - 1 = 0 or 2 x - 5 = 0

 

Add 1 to both sides:
x = 1 or 2 x - 5 = 0

 

Add 5 to both sides:
x = 1 or 2 x = 5

 

Divide both sides by 2:
x = 1                     or                 x = 5/2

Guest Nov 27, 2017
 #2
avatar+87301 
+3

2x^2 -7x + 5  = 0

 

We can rewrite this as

 

2x^2 - 2x  - 5x  +  5  = 0      factor as

 

2x ( x  - 1)  -  5 ( x - 1)  = 0        the common factor is ( x - 1)...so.....

 

(x - 1) ( 2x  -  5)   = 0

 

Set each factor to 0  and solve for x    and we have that

 

x  - 1   = 0                                              2x   - 5   = 0

add 1 to both sides                               add 5 to both sides

x = 1                                                       2x   = 5

                                                             divide both sides by 2

                                                                 x  = 5/2

 

 

cool cool cool

CPhill  Nov 27, 2017

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