What is the product of the 2 solutions of the equation x^2+3x-21=0

1 answer:

3 0

X²+3x-21=0

1) we solve this square equation:
x=[-3⁺₋√(9+84)] / 2=(-3⁺₋√93)/2
We have two solutions:
x₁=(-3-√93)/2
x₂=(-3+√93)/2

2) we compute the product of the 2 solutions found.
[(-3-√93)/2][(-3+√93)/2] =(-3-√93)(-3+√93) / 4=
=(9-93)/4=-84/4=-21

Answer: the product of the 2 solutions of this equation is -21

You might be interested in

Solve the following equation for y. Y= 2y+4y-3=27

sammy [17]

Answer:

$2y + 4y - 3 = 27 \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: 6y = 27 + 3 \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: 6y = 30 \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: y = \frac{30}{6} \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: y = 5$

4 0

3 years ago

Duane bought 68 and3/4 inches of chain for an art project. How many 15 inches chains can he make from it

Katyanochek1 [597]

They could at least make 4 15 inches of chains

4 0

3 years ago

Write a question about a situation that has 24-x for the answer

NARA [144]

Answer:

A bottle holds 24 ounces of water. It has x ounces of water in it.

What does 24 - x represent in this situation?

4 0

3 years ago

If ABC and EDC are similar, what is the value<br> of x?<br> A

abruzzese [7]

Answer:

x = 15

Step-by-step explanation:

Since the triangles are similar then the ratios of corresponding sides are equal, that is

BC/DC = EC/AC , substitute values

3x×5/32 - 5x-5/56 ( cross- multiply )

56(3x - 5) = 32(5x - 5) ← distribute and simplify both sides

168x - 280 = 160x - 160 ( subtract 160x from both sides )

8x - 280 = - 160 ( add 280 to both sides )

8x = 120 ( divide both sides by 8 )

x = 15

3 0

3 years ago

PLEASE HELP!!

77julia77 [94]

Answer:

my best guess even though no answers i would say bout 12

Step-by-step explanation:

6 0

3 years ago