Jessica and Cameron have been solving systems of equations with one polynomial function of degree 2 or higher and one linear function. Jessica says there must always be two solutions, and Cameron says there will only be one solution. Using complete sentences, explain how Jessica can be correct, how Cameron can be correct, and how they both can be wrong.

can somone break this down and explain it to me?

Question

Jessica and Cameron have been solving systems of equations with one polynomial function of degree 2 or higher and one linear function. Jessica says there must always be two solutions, and Cameron says there will only be one solution. Using complete sentences, explain how Jessica can be correct, how Cameron can be correct, and how they both can be wrong.

can somone break this down and explain it to me?

anonymous · Answer

@solomonZelman @jdoe0001 @Jim_Thompson5910

jim_thompson5910 · Answer

this can be explained with a graph

jim_thompson5910 · Answer

|dw:1406932848391:dw|

jim_thompson5910 · Answer

here's a linear equation

|dw:1406932856831:dw|

anonymous · Answer

I have to put it in words

jim_thompson5910 · Answer

Here is a quadratic (degree 2) equation

|dw:1406932885508:dw|

the two don't intersect, so they have no solutions

anonymous · Answer

alright i see

jim_thompson5910 · Answer

however, we can easily shift the parabola up or the straight line down to get this

|dw:1406932916003:dw|

now they intersect at 1 point