Question

the solution set of x² - 5x≤ 50 is

Answer 1

Answer:

$x {}^{2} - 5x \leqslant 50 \\ x {}^{2} - 5x - 50 \leqslant 50 - 50 \\ x {}^{2} - 5x - 50 \leqslant 0 \\ x {}^{2} - 10x + 5x - 50 \leqslant 0 \\ x(x - 10) + 5(x - 10) \leqslant 0 \\ (x + 5)(x - 10) \leqslant 0 \\ x \leqslant 10 \: \\ x \leqslant - 5$