Popcorn Discussions Week Ending 4/26/22 by Felix Mariano https://padlet.com/felixmariano2/zpy27mhbnfl33g61 Write your response to the topic on every column as well as your reactions to other classmate comments en-us 2022-04-22 22:35:49 UTC 2022-05-18 17:24:22 UTC hello@padlet.com https://padlet.net/icons/png/1f9d4.png Malachi https://padlet.com/felixmariano2/zpy27mhbnfl33g61/wish/2156397181 Rewrite both equations in slope-intercept form. Compare the m- and b-values of the equations to determine the number of solutions.]]> 2022-04-25 12:09:57 UTC https://padlet.com/felixmariano2/zpy27mhbnfl33g61/wish/2156397181 Mamadou Bah https://padlet.com/felixmariano2/zpy27mhbnfl33g61/wish/2158367394
  • Solve the resulting quadratic equation to find the x-value(s) of the solution(s).

    • ]]>     2022-04-26 11:58:52 UTC https://padlet.com/felixmariano2/zpy27mhbnfl33g61/wish/2158367394     Mamadou Bah https://padlet.com/felixmariano2/zpy27mhbnfl33g61/wish/2158371614 A System of those two equations can be solved (find where they intersect), either: ]]> 2022-04-26 12:02:23 UTC https://padlet.com/felixmariano2/zpy27mhbnfl33g61/wish/2158371614 Malachi https://padlet.com/felixmariano2/zpy27mhbnfl33g61/wish/2158431792 Isolate one of the two variables in one of the equations. Substitute the expression that is equal to the isolated variable from Step 1 into the other equation.Solve the resulting quadratic equation to find the x-value(s) of the solution(s).

    ]]>     2022-04-26 12:43:14 UTC https://padlet.com/felixmariano2/zpy27mhbnfl33g61/wish/2158431792     Mamadou Bah https://padlet.com/felixmariano2/zpy27mhbnfl33g61/wish/2160252232 A line can either touch or intersect a parabola, circle or ellipse. Hence a system of a quadratic and a linear equation has no, 1 or 2 solutions.]]> 2022-04-27 12:15:59 UTC https://padlet.com/felixmariano2/zpy27mhbnfl33g61/wish/2160252232 Malachi https://padlet.com/felixmariano2/zpy27mhbnfl33g61/wish/2160253646 Most linear systems you will encounter will have exactly one solution. However, it is possible that there are no solutions, or infinitely many. (It is not possible that there are exactly two solutions.)]]> 2022-04-27 12:17:09 UTC https://padlet.com/felixmariano2/zpy27mhbnfl33g61/wish/2160253646 Mamadou Bah https://padlet.com/felixmariano2/zpy27mhbnfl33g61/wish/2162204958 Recall that the discriminant of a quadratic equation 𝑎 𝑥 + 𝑏 𝑥 + 𝑐 = 0  is the expression 𝑏 − 4 𝑎 𝑐  . If the discriminant is negative, then we know that the quadratic equation will have complex roots.]]> 2022-04-28 12:28:59 UTC https://padlet.com/felixmariano2/zpy27mhbnfl33g61/wish/2162204958 Malachi https://padlet.com/felixmariano2/zpy27mhbnfl33g61/wish/2162396357 when there is no intersection points.]]> 2022-04-28 12:44:40 UTC https://padlet.com/felixmariano2/zpy27mhbnfl33g61/wish/2162396357 ehoward55 https://padlet.com/felixmariano2/zpy27mhbnfl33g61/wish/2189894874 A System of those two equations can be solved (find where they intersect), either: 

    ]]>     2022-05-18 17:23:40 UTC https://padlet.com/felixmariano2/zpy27mhbnfl33g61/wish/2189894874     ehoward55 https://padlet.com/felixmariano2/zpy27mhbnfl33g61/wish/2189895177
  • Solve the resulting quadratic equation to find the x-value(s) of the solution(s).


    • ]]>     2022-05-18 17:23:53 UTC https://padlet.com/felixmariano2/zpy27mhbnfl33g61/wish/2189895177     ehoward55 https://padlet.com/felixmariano2/zpy27mhbnfl33g61/wish/2189895592 A line can either touch or intersect a parabola, circle or ellipse. Hence a system of a quadratic and a linear equation has no, 1 or 2 solutions.

    ]]>     2022-05-18 17:24:10 UTC https://padlet.com/felixmariano2/zpy27mhbnfl33g61/wish/2189895592     ehoward55 https://padlet.com/felixmariano2/zpy27mhbnfl33g61/wish/2189895880 Recall that the discriminant of a quadratic equation 𝑎 𝑥 + 𝑏 𝑥 + 𝑐 = 0  is the expression 𝑏 − 4 𝑎 𝑐  . If the discriminant is negative, then we know that the quadratic equation will have complex roots.

    ]]>     2022-05-18 17:24:22 UTC https://padlet.com/felixmariano2/zpy27mhbnfl33g61/wish/2189895880