Answer:
the lager value of y is 4.
Step-by-step explanation:
Given;
(y-1)² = 4y - 7
Simplify as follows;
(y - 1)(y - 1) = 4y - 7
y² - y - y + 1 = 4y - 7
y² - 2y + 1 = 4y - 7
Collect like terms
y² -2y - 4y + 1 + 7 = 0
y² - 6y + 8 = 0
Factorize the equation;
y² -2y - 4y + 8 = 0
y(y - 2) -4(y - 2) = 0
(y - 2)(y - 4) = 0
y = 2 or y = 4
Thus, the lager value of y is 4.
