@LuisBat23199901@fswthbfsd@batuhanppn Sustituyendo a en la expresión original obtenemos
(Y + 1/2)² = Y² + Y + 1/4
Sustituyendo la ecuación original en el lado derecho obtenemos
Y² + Y + 1/4 = 30 + 1/4
Por lo tanto, obtenemos
(Y + 1/2)² = 121/4
Sacamos la raíz cuadrada
Y + 1/2 = ±11/2
@LuisBat23199901@fswthbfsd@batuhanppn Problema
Y² + Y = 30
Supongamos que
Y² + Y + C = (Y + a)²
Desarrollamos el lado derecho
(Y + a)² = Y² + 2aY + a²
Obtenemos
Y² + Y + C = Y² + 2aY + a²
Por lo tanto
2a = 1
a = 1/2
Volvemos a la expresión original
(Y + a)² = Y² + 2aY + a²
@Yusuke_Yoru@batuhanppn You only think it’s easy because you’ve learned to take shortcuts to arrive at the answer, not because you actually understand the logic or the mathematics behind it.
@Yusuke_Yoru@batuhanppn Substituting a into the original expression gives
(Y + 1/2)² = Y² + Y + 1/4
Substituting the original equation into the right-hand side gives
Y² + Y + 1/4 = 30 + 1/4
Therefore, we get
(Y + 1/2)² = 121/4
Take the square root
Y + 1/2 = ±11/2
@Yusuke_Yoru@batuhanppn Problem
Y² + Y = 30
Let
Y² + Y + C = (Y + a)²
Expand the right-hand side
(Y + a)² = Y² + 2aY + a²
We get
Y² + Y + C = Y² + 2aY + a²
Therefore
2a = 1
a = 1/2
Go back to the original expression
(Y + a)² = Y² + 2aY + a²
@Yusuke_Yoru@batuhanppn You’re a textbook example of someone with low intelligence who has managed to acquire just enough knowledge to mistake himself for someone who actually understands what he’s talking about.