Polynomial Business Q7

TL;DR

Solving a quadratic equation by factoring step-by-step.

Transcript

we are going to solve this equation 9 y squared equals 2 12 y minus 4 when we solve the equation at the end the answer should be white sequin number YT equal to number okay so just keep that in mind and also the way to proceed is is that because we have white one second power we are going to first make one cycle 20 and then fatter the other side le... Read More

Key Insights

• 🍉 Initial step involves isolating the squared term.
• 🧑‍🏭 Trinomial is factored using the "ac method."
• 🧑‍🏭 Set each factor derived from factoring equal to zero.

Questions & Answers

Q: What is the initial step in solving the quadratic equation?

The initial step is to move terms to isolate the squared term, in this case, 9y^2, on one side of the equation.

Q: How is the trinomial factored in the equation?

The trinomial, 9y^2 - 12y + 4, is factored using the "ac method" by finding two numbers that multiply to 9 * 4 = 36 and add to -12.

Q: What is the next step after factoring the trinomial?

The next step is to set each factor derived from factoring equal to zero, as each factor could potentially provide a solution for y.

Q: What is the final solution to the quadratic equation?

The final solution to the quadratic equation is y = 2/3, as determined by setting the factored expressions equal to zero and solving for y.

Summary & Key Takeaways

• The equation to solve is 9y^2 = 12y - 4.

• Move terms to isolate y^2 and factor the trinomial.

• After factoring, set each factor equal to zero to find the solutions.