1summerlynnmcelroy 1summerlynnmcelroy
  • 18-07-2022
  • Mathematics
contestada

What are the solutions to the equation? 5x² + 20x = 9 Complete the square to solve. 2145 5 -2 √145 5 0-2± 0-4± -4 29 5 145 5​

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Medunno13
Medunno13 Medunno13
  • 23-07-2022

Answer: [tex]x=-2 \pm \sqrt{29/5}[/tex]

Step-by-step explanation:

[tex]5x^2 + 20x=9\\\\5(x^2 + 4x)=9\\\\5\left((x+2)^2 -4 \right)=9\\\\5(x+2)^2 - 20=9\\\\5(x+2)^2 = 29\\\\(x+2)^2 = \frac{29}{5}\\\\x+2 =\pm \sqrt{29/5}\\\\x=-2 \pm \sqrt{29/5}[/tex]

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