$(2x-5{)}^2-36=0$
$(2x-5{)}^2-6^2=0$
(2x − 5 − 6)(2x − 5 + 6) = 0
(2x − 11)(2x + 1) = 0
2x − 11 = 0
2x = 11
$x=\frac{11}{2}=5\frac{1}{2}$
или
2x + 1 = 0
2x = −1
$x=-\frac{1}{2}$
Ответ: $-\frac{1}{2};5\frac{1}{2}$.

$(5z-3{)}^2-9z^2=0$
$(5z-3{)}^2-(3z{)}^2=0$
(5z − 3 − 3z)(5z − 3 + 3z) = 0
(2z − 3)(8z − 3) = 0
2z − 3 = 0
2z = 3
$z=\frac{3}{2}=1\frac{1}{2}$
или
8z − 3 = 0
8z = 3
$z=\frac{3}{8}$
Ответ: $\frac{3}{8};1\frac{1}{2}$.

$(4-11y{)}^2-1=0$
$(4-11y{)}^2-1^2=0$
(4 − 11y − 1)(4 − 11y + 1) = 0
(3 − 11y)(5 − 11y) = 0
3 − 11y = 0
−11y = −3
$y=\frac{3}{11}$
или
5 − 11y = 0
−11y = −5
$y=\frac{5}{11}$
Ответ: $\frac{3}{11};\frac{5}{11}$.

$(4t-3{)}^2-25t^2=0$
$(4t-3{)}^2-(5t{)}^2=0$
(4t − 3 − 5t)(4t − 3 + 5t) = 0
(−t − 3)(9t − 3) = 0
−t − 3 = 0
−t = 3
t = −3
или
9t − 3 = 0
9t = 3
$t=\frac{3}{9}=\frac{1}{3}$
Ответ: $-3;\frac{1}{3}$.