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  
 
+2
397
1
avatar+221 

Solve: \(|2x - 1| = |3x + 5|\). Write your answers as a list of numbers, separated by commas, e.g. "23, 19" (but without the quotes).

 Mar 22, 2019
 #1
avatar+23140 
+3

Solve:

\(|2x - 1| = |3x + 5|\).

Write your answers as a list of numbers, separated by commas,
e.g. '23, 19' (but without the quotes).

 

\(\begin{array}{|rcll|} \hline |2x - 1| &=& |3x + 5| \\ (2x - 1)^2 &=& (3x + 5)^2 \\ 4x^2-4x+1&=& 9x^2+30x+25 \\ \ldots \\ 5x^2 +34x+24 &=& 0 \\\\ x &=& \dfrac{-34\pm \sqrt{34^2-4\cdot 5 \cdot 24} }{2\cdot 5} \\ &=& \dfrac{-34\pm \sqrt{34^2-480} }{10} \\ &=& \dfrac{-34\pm \sqrt{676} }{10} \\ &=& \dfrac{-34\pm 26 }{10} \\\\ x &=& \dfrac{-34+ 26 }{10} \\ \mathbf{x} & \mathbf{=} & \mathbf{-0.8}\\\\ x &=& \dfrac{-34- 26 }{10} \\ \mathbf{x} & \mathbf{=} & \mathbf{-6}\\ \hline \end{array} \)


\(\mathbf{"-0.8, -6"}\)

 

laugh

 Mar 22, 2019

25 Online Users

avatar
avatar
avatar
avatar