Question

Найдите х из пропорции

Answer 1

1)
${xover a+b}={aover a^2-b^2}\x={a(a+b)over (a+b)(a-b)}\x={aover a-b}$

2)
${a^2-b^2over x}={a^2-2ab+b^2over b}\x={b(a-b)(a+b)over(a-b)^2}\x={b^2+abover a-b}$

3)
${a^4-aover2a^2-2a}={a^2+a+1over x}\x={2a(a-1)(a^2+a+1)over a(a-1)(a^2+a+1)}=2$

4)
${14a+7bover3b^2-12a^2}={xover2a-b}\x={7(2a+b)(2a-b)over3(b-2a)(b+2a)}\x=-{7over3}$

5)
${2a-3bover a^2b}={x(3b-2a)over ab^2}\x={ab^2(2a-3b)over a^2b(3b-2a)}\x=-{bover a}$

6)
${5a-3cover 25a^2-9c^2}={axover10a+6c}\x={2(5a-3c)(5a+3c)over(5a-3c)(5a+3c)a}\x={2over a}$