Answer:
Given the equation: 
A quadratic equation is in the form:
where a, b ,c are the coefficient and a≠0 then the solution is given by :
......[1]
On comparing with given equation we get;
a =3 , b = 10
then, substitute these in equation [1] to solve for c;

Simplify:

Also, it is given that the difference of two roots of the given equation is
i.e,

Here,
, ......[2]
.....[3]
then;

simplify:

or

Squaring both sides we get;

Subtract 100 from both sides, we get

Simplify:
-12c = -96
Divide both sides by -12 we get;
c = 8
Substitute the value of c in equation [2] and [3]; to solve 

or
or

Simplify:

Now, to solve for
;

or
or

Simplify:

therefore, the solution for the given equation is:
and -2.
Answer: Expensive car which cost less to operate.
Step-by-step explanation: When purchasing a new expensive car it is much more reliable, the risk you run with buying a used car is it breaking down on you while you are driving. Much less likely to happen with a new car.
Answer:
(x+4)(x+8)
Step-by-step explanation:
Factor x²+12x+32 using the AC method.
Answer:
it is likely that 80 of the total boxes produced that day had more than 15.5 ounces of cereal.
Step-by-step explanation:
the answer is basically c.
Shorter <span>piece = x
longer </span><span>piece = 4x
x + 4x = 48.5
5x = 48.5
x = 48.5/5
x = 9.7 cm </span>← shorter piece
longer piece = 4x = 4 * 9.7 = 38.8 cm