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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asked Nov 4, 2023 59.3k views

5 votes

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

Mathematics
college

Sanyooh asked

by Sanyooh

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1 Answer

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Answer:
$x=-2 \pm √(29/5)$

Explanation:

$5x^2 + 20x=9\\\\5(x^2 + 4x)=9\\\\5\left((x+2)^2 -4 \right)=9\\\\5(x+2)^2 - 20=9\\\\5(x+2)^2 = 29\\\\(x+2)^2 = (29)/(5)\\\\x+2 =\pm √(29/5)\\\\x=-2 \pm √(29/5)$

Ryan Anderson answered Nov 9, 2023

by Ryan Anderson

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