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y=-x^2+4x-4

0 votes

find the two roots.

rational-expressions
solving-equations

asked Mar 11, 2014 in ALGEBRA 1 by skylar Apprentice

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1 Answer

0 votes

The equation is y = - x² + 4x - 4.

To find the two roots, substitute y = 0 in the original equation.

0 = - x² + 4x - 4

0 = - [x² - 2(2)(x) + 2²]

Apply Perfect Square Trinomial : (u² - 2uv + v²) = (u - v)².

0 = (x - 2)²

0 = (x - 2)

x = 2.

The roots are 2 and 2.

answered Sep 1, 2014 by casacop Expert

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