Answer:
Step-by-step explanation:
This could help
https://www.jcschools.us/cms/lib03/MO01909951/Centricity/Domain/2287/2-1%207th%20grade%20math.pdf
Given:

One of the two roots of the given equation is double the additive inverse of the other.
To find:
The value of k.
Solution:
Let two roots of the given equation are
and
.
According to the question,
(Additive inverse of
is
)

If
and
are roots of the quadratic equation
then


We have,

Here, a =1, b=k and c=-98.

![[\because \beta=-2\alpha]](https://tex.z-dn.net/?f=%5B%5Cbecause%20%5Cbeta%3D-2%5Calpha%5D)

...(i)
Now,

![[\because \beta=-2\alpha]](https://tex.z-dn.net/?f=%5B%5Cbecause%20%5Cbeta%3D-2%5Calpha%5D)

Divide both sides by -2.

Taking square root on both sides.


Using (i), we get

Therefore, the value of k is either -1 or 1.
Answer:
100 miles
Step-by-step explanation:
Let the number of miles driven = x
Rapid Rental Car Company charges a $55 rental fee and $0.25 per mile driven.
$55 + $0.25x
55 + 0.25x
For the same car, Capital Cars charges $45 for rental fee and $0.35 per mile.
$45 + $0.35x
45 + 0.35x
Equation :
55 + 0.25x = 45 + 0.35x
The number of miles for which the companies’ charges will be the same is calculated as:
55 + 0.25x = 45 + 0.35x
Collect like terms
55 - 45 = 0.35x - 0.25x
10 = 0.10x
x = 10/0.10
x = 100 miles
The number of miles for which the companies’ charges will be the same is
100 miles.
Answer:
is the simplified radical expression.
Step-by-step explanation:
For this one, we have fractions in the bottom of a fraction (denominator).
So, we would multiply by
.

Then Multiply by 6.
is the simplified radical expression.
Answer:
Option a
Step-by-step explanation:
Given that ,
the roots are
and
.
We know that quadratic equation with roots a,b is given by

a=
b=
substituting we get,

Hence we see that coefficient of
is 1.
Option (a)