Question

Express – x^2 + 6x – 5 in the form a(x + b)^2 + C, where a, b and c are constants.​

Answer 1

Answer:

${x}^{2} + 6x - 5 \\ \\ {x {}^{2} + (2 \times 3} \times x )+ {3}^{2} - {3}^{2} - 5 \\ \\ \\ (x + 3) {}^{2} - 9 - 5 \\ \\ 1(x + 3) {}^{2} + ( - 14) \\ \\ a = 1 \: \: \: \: \: b = 3 \: \: \: \: \: c = - 14$