Question

Solve the Quadratic Equation By Completing the Square
b^2-15b-54=0

Answer 1

`b^(2)-15b-54=0. \\ewline b^(2)-15b=54. \\ewline b^(2)-15b+((15)/(2))^(2)=54+((15)/(2))^(2). \\ewline (b-(15)/(2))^(2)=(441)/(4). \\ewline b-(15)/(2)=\pm(21)/(2). \\ewline b=\pm(21)/(2)+(15)/(2). \\ewline b_1 = -3, b_2 = 18.`