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IM Alg2.3.16 Practice: Solving Quadratics

Author:GeoGebra Classroom Activities, IM Algebra 1, Geometry, Algebra 2

What number should be added to the expression  to result in an expression equivalent to a perfect square?

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Noah uses the quadratic formula to solve the equation . He finds  or . But, when he checks his answer, he finds that neither -2.5 nor 1 are solutions to the equation. Here are his steps: , , or Explain what Noah’s mistake was.

Solve the equation correctly.

Solve each quadratic equation with the method of your choice.

What are the solutions to the equation ?

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Which expression is equivalent to ?

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Write each expression in the form , where and are real numbers.

Let and . Write each expression in the form , where and are real numbers.

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