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What's on the worksheet
- Fill in the blanks so each line is a true perfect square identity.
- Solve each equation by completing the square, giving complex solutions if needed.x^2 - 8x = 20x^2 + 12x + 11 = 0p^2 - 2p - 11 = 0x^2 + 7x + 1 = 0t^2 + 3t = \dfrac{7}{4}
- Grocery store cans stacked in a triangle: use a quadratic to find the number of rows.
- Find the mistake in Diego's completing the square.
- Show an expression is always positive, then find when it equals given values.
Teach it first
The free lesson teaches it with worked examples and practice problems.
Completing the square: the lesson ›More Chapter 11 worksheets: Solving quadratic equations
- 11.1Solving quadratics by factoring
- 11.2Solving quadratics with square roots
- 11.3Completing the square
- 11.4Completing the square, leading coefficient not one
- 11.5Vertex form: reading, converting and graphing
- 11.6Factored form
- 11.7Reading a quadratic in its three forms
- 11.8Deriving the quadratic formula
- 11.9Using the quadratic formula
- 11.10The discriminant and the number of real solutions
- 11.11Maximum, minimum and projectile problems
- 11.12Systems with a curve