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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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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​

User Sanyooh
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1 Answer

5 votes

Answer:
x=-2 \pm √(29/5)

Explanation:


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 = (29)/(5)\\\\x+2 =\pm √(29/5)\\\\x=-2 \pm √(29/5)

User Ryan Anderson
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