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  
 
-5
85
1
avatar+48 

Solve each equation and express your answer in simplest radical form:

 

1.) 5x - 7x^2 = 3x + 4 

 

2.) -x^2 + 4x = 13

 

 

Answers: 2.) https://web2.0calc.com/questions/solve-each-equation-and-express-your-answer-in-simplest_3

1.) https://web2.0calc.com/questions/solve-each-equation-and-express-your-answer-in-simplest_4

 Feb 27, 2019
edited by GAMEMASTERX40  Apr 5, 2019
 #1
avatar+18346 
+2

1.  5x - 7x^2 = 3x +4        add 7x^2 to both sides 0f the equation

     5x   =   7x^2 + 3x + 4      subtract 5x from both sides

      0 = 7x^2 -5x +3x+4        simplify

      0 = 7x^2 - 2x + 4          SInce the question states that it is 'radical form'   you will need to use Quadratic Formula (rather than factoring) to find 'roots'

      \(x = {-b \pm \sqrt{b^2-4ac} \over 2a}\)

 

a = 7    b = -2    c = 4   

    [ 2 +- sqrt((-2)^2 - 4(7)(4) ]   / [ 2(7) ]  = 2 +- sqrt(-108) / 14  =  2+- 6i sqrt(3)  / 14   =  1/7 +- 3/7 i sqrt(3)

 

Think you can do the second one now?

 

2.  - x^2 +4x = 13

         x^2 -4x +13 = 0         a = 1   b = -4   c = 13  

 Feb 27, 2019
edited by ElectricPavlov  Feb 27, 2019
edited by ElectricPavlov  Feb 27, 2019
edited by ElectricPavlov  Feb 27, 2019

9 Online Users

avatar
avatar