10.2 Notes - completingthesquare

# 10.2 Notes - completingthesquare - Solving quadratic...

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Solving quadratic equations by completing the square

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Perfect Square Trinomials Before we solve equations by completing the square, we should be familiar with perfect square trinomials. A perfect square trinomial is a trinomial like 2 2 6 9 ( 3)( 3) ( 3) x x x x x
Perfect Square Trinomials Let’s observe the pattern. The 1 st term is a perfect square. The last term is a perfect square. Half of the middle term is the square root of the 1 st term times the square root of the last term. 2 2 6 9 9 3 3 6 3 2 x x x x x x x

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Perfect Square Trinomials Other examples. Notice: The last sign in the trinomial is always positive The sign in the parentheses matches the sign of the middle term. 2 2 2 2 4 20 25 (2 5) 16 8 1 (4 1) x x x x x x