How many root(s) does the following equation have? Explain how you know for credit. -6x2 - 6x + 7 = 7

This equation has two roots.  We know this because of the format it is in.  Any expression in the form ax² + bx + c is a quadratic one, which describes a parabola and has two roots.

In this case, the roots are -1 and 0.

Step-by-step explanation:

Let's see if we can find those values:

-6x² - 6x + 7 = 7

-6x² - 6x = 0

x² + x  = 0

x(x + 1) = 0

x = -1, 0

We could also run through solving this by completing the square:

-6x² - 6x + 7 = 7

-6x² - 6x = 0

x² + x  = 0

x² + x + 0.25 = 0.25

(x + .5)² = 0.25

x + .5 = ±√0.25

x + .5 = ± 0.5

x = -0.5 ± 0.5

x  = -1, 0

step-by-step explanation:

we can use this expression to calculate the energy gain as a particle moves with a field or the energy loss as it moves against it. (note that it is also used to define the electron-volt, a unit of energy equal to that gained by an electron as it falls through a pd of 1 v, i.e. w = 1 ev = 1.6 10-19 c 1 v = 1.6 10-19j).in fact this expression is really nothing more than the statement that potential is the potential energy per unit charge. in this case, v= w/qis simply stating that the change in potential energy(or work done) per unit charge is equal to the change in potential (or potential difference), v.student questions: uniform electric fields2electron beamcathode+5 kvanode0 v

v,jhvljh,b.b; hk; ljujb,vuvccklokll; k,m,km,

step-by-step explanation: