Solve the equation
9y2 - 36y = -5
by completing the square.
| Strategy: | 1. Rewrite the equation with just the
variable terms on the left. 2. Complete the square on the left side. 3. Extract square roots from both sides. 4.Solve the equation. |
| 9(y2 - 4y) = -5 9(y2 - 4y + ___) = -5 + ___ |
Rewrite the equation with just the variable terms on the left. Add the same number to both sides so as to make the left side a perfect square. |
| Show work. | This is done by taking half the coefficient of the linear term (i.e. half of 4), squaring that number, multiply it by the coefficient 9 and then adding that product to both sides. |
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