homeschool girl
Junior Member
- Joined
- Feb 6, 2020
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Consider the system of quadratic equations
[MATH] y =3x^2 - 5x,\\ y = 2x^2 - x - c, [/MATH]
where [MATH]c[/MATH] is a real number.
(a) For what value(s) of [MATH]c[/MATH] will the system have exactly one solution [MATH](x,y)?[/MATH]
(b) For what value(s) of [MATH]c[/MATH] will the system have more than one real solution?
(c) For what value(s) of [MATH]c[/MATH] will the system have no real solutions?
tried many things, including the quadratic equation, and setting both equations equal to each other, but none of them worked.
(pls don't ask me to show all the calculations I did, b/c I filled three full sheets of paper and it would take hours to write them down)
[MATH] y =3x^2 - 5x,\\ y = 2x^2 - x - c, [/MATH]
where [MATH]c[/MATH] is a real number.
(a) For what value(s) of [MATH]c[/MATH] will the system have exactly one solution [MATH](x,y)?[/MATH]
(b) For what value(s) of [MATH]c[/MATH] will the system have more than one real solution?
(c) For what value(s) of [MATH]c[/MATH] will the system have no real solutions?
tried many things, including the quadratic equation, and setting both equations equal to each other, but none of them worked.
(pls don't ask me to show all the calculations I did, b/c I filled three full sheets of paper and it would take hours to write them down)