Question

решите неравенство (5х-1)(5х+1)-(5х+2)^2<35

Answer 1

$(5x-1)(5x+1)-(5x+2)^2 textless 35$

$25x^2-1-(5x+2)^2 textless 35$

$25x^2-1-(25x^2+4+20x) textless 35$

$25x^2-1-25x^2-4-20x textless 35$

$-20x-5 textless 35$

$-20x textless 35+5$

$-20x textless 40$

$x textgreater 40:(-20)$

$x textgreater -2$

$x$∈$(-2;+$∞$)$