Question

Даю 30 балооввв!! Сделайте плиз побыстрее

Answer 1

$(x - 2)(x + 2) - {(3x - 8)}^{2} > 7(x + 4)(x - 4) - 15 {x}^{2} \\ \\ {x}^{2} - 4 -( 9 {x}^{2} - 48x + 64) > 7 {x}^{2} - 112 - 15 {x}^{2} \\ \\ {x}^{2} - 4 - 9 {x}^{2} + 48x - 64 > - 8 {x}^{2} - 112 \\ \\ - 8 {x}^{2} + 48x - 68 + 8{x}^{2} > - 112 \\ \\ 48x > - 44\\ \\ x > - \frac{11}{12}$

Answer 2

$\displaystyle\bf\\\underbrace{(x-2)(x+2)}_{x^{2} -2^{2} }-(3x-8)^{2} > 7\underbrace{(x+4)(x-4)}_{x^{2} -4^{2} }-15x^{2} \\\\\\x^{2} -4-(9x^{2} -48x+64) > 7\cdot(x^{2} -16)-15x^{2}\\\\\\x^{2} -4-9x^{2} +48x-64 > 7x^{2} -112-15x^{2} \\\\\\-8x^{2} +48x-68 > -8x^{2} -112\\\\\\-8x^{2} +48x+8x^{2} > -112+68\\\\\\48x > -44\\\\\\x > -\frac{11}{12}$

Ответ : x > - 11 /12