Question

Solve the given equation by completing the square.

x^2 + 8x = 38

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

Answer 1

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\\`