Question

x^2 - 45x + 324 = 0 give the zeros by splitting the middle term. Also if possible x^2 - 55x + 750 = 0

Answer 1

Answer:

${x}^{2} - 45x + 324 = 0 \\ {x}^{2} - 27x - 18x + 324 = 0 \\ x(x - 27) - 18(x - 27) \\( x - 18)(x - 27) =0 \\ x = 18 \: or \: x = 27$

${x}^{2} - 55x + 750 = 0 \\ {x}^{2} - 30x - 25x + 750 = 0 \\ x(x - 30) - 25(x - 30) \\ (x - 25)(x - 30) \\ x = 25 \:or \: x = 30$