Y-11square Root Y +24=0
y - 11√y + 24 = 0
y + 24 = 11√y
square both sides
y^2 + 48y + 576 = 121y
y^2 - 73y + 576 = 0
(y - 64)(y - 9) = 0
y = 64 or y = 9
Since we squared the equation, all answers must be verified.
Do both answers work in the original equation?
To solve the equation √(y - 11) + 24 = 0, we first need to isolate the square root term.
Step 1: Subtract 24 from both sides of the equation:
√(y - 11) = -24
Step 2: Square both sides of the equation to eliminate the square root:
(√(y - 11))^2 = (-24)^2
y - 11 = 576
Step 3: Add 11 to both sides of the equation:
y = 576 + 11
y = 587
Therefore, the solution to the equation is y = 587.