Solve quadratic equations by inspection (e.g., for x² = 49), taking square roots, completing the square, the quadratic formula and factoring, as appropriate to the initial form of the equation. Recognize when the quadratic formula gives complex solutions and write them as a ± bi for real numbers a and b.
Priya's older brother is working on some higher-level math work and claims that is a solution to the equation .
Explain how she could check that his solution is correct, using each of these tools.
A basic calculator
A graphing tool
When looking at his work, Priya sees that he has the equation . Knowing the zero product property holds, Priya recognizes that this equation means or for this question. Find 2 other solutions to the original equation. Explain or show your reasoning.
18.3
Activity
Standards Alignment
Building On
Addressing
Building Toward
A-REI.4.b
Solve quadratic equations by inspection (e.g., for x² = 49), taking square roots, completing the square, the quadratic formula and factoring, as appropriate to the initial form of the equation. Recognize when the quadratic formula gives complex solutions and write them as a ± bi for real numbers a and b.
