Factor the trinomial. You many need to check the discriminant to make sure it can be factored. SHOW YOUR WORK.

1 answer:

6 0

Check the discriminant (always a good idea).

b^2 - 4ac
b = -19
c = -15
a = 10

(-19)^2 - 4(10)(-15)
361 + 600
961

Yes it can be factored, but if you like, you could use the quadratic formula.
x = [- (-19) +/- sqrt(961)]/(2 * 10)
x = [19 +/- 31 ] / 20
x = (19 + 31/20
x = (50)/20
x = 5/2

x = [19 - 31] / 20
x = [- 12]/20
x = -3/5

Getting the factors is a little tricky.
(x - 5/2)(x + 3/5) = 0
The first factor is found by putting
x - 5/2 in that form and multiplying through by 2
1/2 (2x - 5) The 1/2 comes from multiplying by 2.

The second factor is
1/5 (5x + 3)

So the equation will look like
1/2(2x - 5)1/5(5x + 3) = 0 If you multiply by 2 you get
(2x - 5)1/5(5x + 3) = 0 and now multiply by 5 you get
(2x - 5) (5x + 3)

Check
2x*5x - 25x + 6x - 15
10x^2 - 19x - 15 = 0

So everything works out.

You might be interested in

A coin is tossed 20 times. It lands heads four times. Compare the experimental probability to its theoretical probability. If th

MrRa [10]

Theoretical probability is based on the likelihood of events.

if a coin is flipped 20 times, and it has landed on heads 4 times, theres a 50% chance it would land on heads the 5th time.

it could be that heads gets more than tails or it could be vise versa.

The probability of getting two heads is 1 in 4.

5 0

3 years ago

What is 12229 divided by 175? Please help.

alina1380 [7]

Answer: 12229/175= 69.88

3 0

3 years ago

Ava borrowed some money from her friend in order to help buy a new video game system. Ava agreed to pay back her friend $2 per w

nydimaria [60]

We know that Ava is paying $2 dollars per week so if L is the money that she owes and t is the number of weeks, and I is the initial debt so we can write an equation like: