On monday godswill ate some grapes. on tuesday he
was hungrier, so he ate 6 more grapes than he had on
monday. each day that week, he ate 6 more grapes than the day before. on friday after he ate his grapes, he realized he had eaten a total of 100 grapes this week. how many grapes did he eat on monday? show all your work and explain how you arrived at your answer.

He ate 8 grapes on Monday.

Step-by-step explanation:

Let be "x" the number of grapes Godswill ate on Monday.

You know that he ate 6 more grapes than he had on Monday. This can be expressed with:

Since each day that week, he ate 6 more grapes than the day before and he realized on Friday he had eaten a total of 100 grapes this week, you can write the following expression and solve for "x":

For this case we have to:

Let "x" be the variable that represents the number of grapes Godswill ate on Monday, so we have:

Finally we have the following expression:

We add similar terms:

So, on Monday he ate 8 grapes

On Monday he ate 8 grapes.

x= -3 and

step-by-step explanation:

to find the roots of a cubic, use division or factoring to find the factors then set equal to 0. as this is a difference of cubes, it factors into

where a is the cube root of .

here   this is 27 and the cube root of 27 is 3. so we write using the form:

.

set each factor to 0 and solve for x.

x-3=0

x=3

the quadratic expression does not factor and must be solved using the quadratic formula.

where a = 1, b=3, and c=9

this cubic has two complex roots.