We use cookies to personalise content and advertisements and to analyse access to our website. Furthermore, our partners for online advertising receive pseudonymised information about your use of our website. cookie policy and privacy policy.
 
+0  
 
-1
56
2
avatar+248 

1.

Solve for x, where x>0 and 0=-9x^2-3x+2 Express your answer as a simplified common fraction.

 

2.

For how many positive integers x is x^2+4x+4 between 10 and 50?

 

3.

Positive integers x and y have a product of 56 and x

 Jun 9, 2019
edited by sinclairdragon428  Jun 9, 2019
edited by sinclairdragon428  Jun 9, 2019
edited by sinclairdragon428  Jun 9, 2019
 #1
avatar+102417 
+3

1.

Solve for x, where x>0 and 0=-9x^2-3x+2 Express your answer as a simplified common fraction.

 

Multiply through by - 1  and we have

 

9x^2 + 3x - 2  = 0

 

(3x + 2) (3x - 1)  = 0

 

Only the second factor produces a positive solution of  1/3

 

 

cool cool cool

 Jun 9, 2019
 #2
avatar+102417 
+3

2.

For how many positive integers x is x^2+4x+4 between 10 and 50?

 

Note   x^2 + 4x + 4  =  (x + 2)^2

 

Whe x = 1        (x + 2)^2  = 9 

When x = 2      (x + 2)^2  =  16

When x = 5       (x + 2)^2 = 49

When x = 6       (x + 2)^2   =  64

 

So....  four integers....2, 3 , 4 , 5

 

 

cool cool cool

 Jun 9, 2019

9 Online Users