Illustrative Math - Algebra 2 - Unit 3 - Lesson 18

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11 Questions
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Clare solves the quadratic equation 4x^{2}+12x+58=0, but when she checks her answer, she realizes she made a mistake. Explain what Clare's mistake was.
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Priya is using the quadratic formula to solve two different quadratic equations.

For the first equation, she writes x= \frac{4\pm \sqrt{16-72}}{12}

For the second equation, she writes x= \frac{8\pm \sqrt{64-24}}{6}

Which equation(s) will have real solutions? Which equation(s) will have non-real solutions? Explain how you know.
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Kiran is solving the equation \sqrt{x+2}-5=11 and decides to start by squaring both sides. Which equation results if Kiran squares both sides as his first step?
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11.
Plot each number on the real or imaginary number line.
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This lesson is from Illustrative Mathematics. Algebra 2, Unit 3, Lesson 18. Internet. Available from https://curriculum.illustrativemathematics.org/HS/teachers/3/3/18/index.html ; accessed 27/July/2021.

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