Solve the given equation by completing the square. x^2 + 8x = 38 Fill in the values of a, b, and cto complete the solutions.

asked Oct 11, 2022 92.7k views

1 vote

Solve the given equation by completing the square.

x^2 + 8x = 38

Fill in the values of a, b, and cto complete the solutions.

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2 votes

Answer:

Explanation:

$x^2+8x=38\\\\x^2+8x-38=0\\\\\Delta=8^2+4*38=216=6^3\\\\x=(-8-6√(6) )/(2) \ or\ x=(-8+6√(6) )/(2)\\\\x=-4-3√(6) \ or\ x=-4+3√(6)\\\\a=-4\\b=3\\c=6\\$

Mikhail Poda answered Oct 15, 2022

4.3k points

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