Asked by Jolly
write a pair of equations that have exactly two solutions. (at least one equation is not linear) any links to help?
Answers
Answered by
tyger2020
For the nonlinear equation, it can be something like:
(x + 2) * (x - 5)
and then FOIL it out like this:
x^2 - 3x - 10
You can substitute any two different integers for 2 and -5 there, and it will be a nonlinear function with two solutions.
For a linear equation, it could be as simple as the square root of x. Let's say we have the square root of 4. This has two solutions, since 2^2 = 4, and -2^2 = 4.
I'd send you a link, but I can't in this forum -- but Khan Academy Algebra has great resources on this.
(x + 2) * (x - 5)
and then FOIL it out like this:
x^2 - 3x - 10
You can substitute any two different integers for 2 and -5 there, and it will be a nonlinear function with two solutions.
For a linear equation, it could be as simple as the square root of x. Let's say we have the square root of 4. This has two solutions, since 2^2 = 4, and -2^2 = 4.
I'd send you a link, but I can't in this forum -- but Khan Academy Algebra has great resources on this.
Answered by
R_scott
a straight line can intersect a parabola in two places
... the intersection points are the simultaneous solutions
linear form ... y = m x + b ... m and/or b could be zero
quadratic form ... y = a x^2 + b x + c ... b and/or c could be zero
fill in some values and check with a graphing program
... the intersection points are the simultaneous solutions
linear form ... y = m x + b ... m and/or b could be zero
quadratic form ... y = a x^2 + b x + c ... b and/or c could be zero
fill in some values and check with a graphing program
Answered by
R_scott
to tyger ... the √ function is not linear
but it makes no difference in this case
but it makes no difference in this case
There are no AI answers yet. The ability to request AI answers is coming soon!