Aquadratic equation has a complex solution of 4+9i (where 'i' is an imaginary number). what is the other solution?

the other solution is 4-9i.

this comes from the formula for solution of quadratics

where you can find the +/- symbol in from of the square root of the determinant.

The other solution will be 4-9i.

Step-by-step explanation:

Since we have given that

A quadratic equation has a complex solution i.e.

4+9i.

And we need to find the other solution.

As we know that complex solution always comes with its conjugate.

As complex roots occurs in pairs. i.e. complex with its conjugate.

So, it is obvious .

That the other solution will be the conjugate of 4+9i.

In conjugation, only sign of imaginary number will be changed.

So, the other solution will be 4-9i.

i think it would be 43 movies that would have to be watched.

step-by-step explanation:

think about it. for the second plan, every month is 8 dollars. 8 x 12= 96. so thats the number for the second plan. now for the first plan, its annual meaning you have to pay 10 dollars every year. so now you have to get an equivalent amount of 86 since 96-10=86. 86 divided by 2 since every movie costs 2$ then you would have to watch 43 movies a year to get the same as the second plan. i really hoped this . have a wonderful day as well!

37/3

step-by-step explanation:

step 1: simplify both sides of the equation.

7x+8(x+

1

4

)=3(6x−9)−8

7x+(8)(x)+(8)(

1

4

)=(3)(6x)+(3)(−9)+−8(distribute)

7x+8x+2=18x+−27+−8

(7x+8x)+(2)=(18x)+(−27+−8)(combine like terms)

15x+2=18x+−35

15x+2=18x−35

tep 2: subtract 18x from both sides.

15x+2−18x=18x−35−18x

−3x+2=−35

step 3: subtract 2 from both sides.

−3x+2−2=−35−2

−3x=−37

step 4: divide both sides by -3.

−3x

−3

=

−37

−3

x=

37

3