SOLUTION: Use the discriminant to find how many places the quadratic function crosses the x-axis. 4x^2 + 8x = 0

Algebra.Com
Question 193802: Use the discriminant to find how many places the quadratic function crosses the x-axis.
4x^2 + 8x = 0

Answer by solver91311(24713)   (Show Source): You can put this solution on YOUR website!


Rewrite your equation:



So:







Discriminant:



Plug in the values and calculate.

One point of intersection (the x-axis is tangent to the curve at the vertex)

Two points of intersection, i.e. two real number roots.

No points of intersection, i.e. the roots are a conjugate pair of complex numbers.


John


RELATED QUESTIONS

Use the discriminant to find how many places the quadratic function crosses the x-axis. (answered by stanbon)
Use the discriminant to find how many places the quadratic function crosses the x-axis. (answered by Alan3354)
Use the discriminant to find how many places the quadratic function crosses the x-axis. (answered by Mathtut)
Use the discriminant to determine how many real number solutions the quadratic equation... (answered by stanbon)
How do I solve? Use the discriminant to determine whether the graph of each quadratic... (answered by vleith)
f(x) = x^4 - 4x^3 - 43x^2 + 130x + 168 is the equation of a quartic function. Use a... (answered by Alan3354)
How do I solve? Find the value of the discriminant to determine the number of... (answered by stanbon)
Solve for x: x^2 + 7x + 4 = 0. If the solutions are complex numbers, then give your... (answered by Edwin McCravy)
Find the x-intercepts of the polynomial function. State whether the graph crosses the... (answered by Fombitz)