Answer:
[tex] {x}^{2} - 3x - 10 = 0[/tex]
Step-by-step explanation:
[tex] x = - 2 \: and \: x = 5 \\ x + 2 = 0 \: and \: x - 5 = 0 \\ ( x + 2)(x - 5) = 0 \\ {x}^{2} + (2 - 5)x + 2( - 5) = 0 \\ \purple { \bold{{x}^{2} - 3x - 10 = 0}} \\ is \: the \: required \: equation.[/tex]
