2-5 Completing the square

Completing the square 2-5

Unit 2

Hana's work

Hana and Enrique used different methods to solve the equation 𝙭²−𝟲𝙭+𝟵=𝟭𝟲

Some text here about the topic of discussion

Open Ended

How did Hana solve for the solution to her quadratic? Explain her thought process and use full sentences.

Enrique's work

Hana and Enrique used different methods to solve the equation 𝙭²−𝟲𝙭+𝟵=𝟭𝟲

Some text here about the topic of discussion

Open Ended

What does Enrique mean squaring 4 or -4 to get 16?

Open Ended

How did Enrique solve for the solution to his quadratic? Explain his thought process and use full sentences.

Open Ended

Which method works best to solve for the solution to the quadratic? Are both method's valid or one of them valid (Explain)? If one of the method's is not valid please explain why.

Draw

Can you use either Hana’s or Enrique’s method to solve the equation 𝘹²+𝟣𝟢𝘹+𝟤𝟧=𝟥x squared? Explain.

Solving quadratics: Square root both sides

Solving quadratics: Square root both sides

Solving quadratics: Square root both sides

Solving quadratics: Square root both sides

Draw

Find the solutions to 81=x²+12x+36

Draw

Find the solutions to 9=x²-16x+64

Understanding Completing the square...

Understanding Completing the square... Step 1

Understanding Completing the square... Step 2

Understanding Completing the square... Step 4

Understanding Completing the square...

Understanding Completing the square...

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Understanding Completing the square...

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Understanding Completing the square...

Draw

How can you write the equation 𝘹²−𝟨𝘹−𝟣𝟣=𝟢 in the form (𝘹−𝘱)²=𝘲?