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yuradex [85]
3 years ago
15

Solve the quadratic equation 3x^2 +x-5=0 give your answers to two decimal places

Mathematics
1 answer:
ddd [48]3 years ago
8 0

Especially if we're to present the answers to 2 decimal places, we'd gues that the roots of this polynomial are not "nice."

My suggestion is that we use the quadratic formula to find the roots, and then write the associated factors.

In 3x^2 +x-5=0, a=3, b=1 and c= -5. Thus, the roots are

-1 plus or minus √(1^2 - 4(3)(-5) )

x = --------------------------------------------------

2(3)

or:

-1 plus or minus √61 -1 plus or minus 7.81

x = ----------------------------------- = ---------------------------------

6 6

Then one root is 6.81/6, or approx. 1.14, and the other is

-8.81/6, or approx. -1.47.

The solution set is then {-1.47, 1.14}.

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Answer: Telescopes use lenses or mirrors to collect and focus waves from the electromagnetic spectrum, including visible light, allowing us to look at celestial objects. By studying the electromagnetic waves given off by objects such as stars, galaxies, and black holes, astronomers can better understand the universe.

Step-by-step explanation:

8 0
3 years ago
Only the correct answer
storchak [24]
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6 0
3 years ago
Put the steps in correct order to prove that if x is irrational, then 1/x is irrational using contraposition.
SOVA2 [1]

Answer:

The correct order is:

a

c

d

b

Step-by-step explanation:

First, let's write 1/x in a convenient way for us:

a) Substitute 1/x = p/q, to obtain x = 1/(1/x) = 1/(p/q) = q/p.

Now we assume that 1/x is rational (we want to prove that this implies that x will be also rational and because we know that x is irrational assuming that 1/x is rational will lead to an incongruence), then:

c. If 1/x is rational, then 1/x = p/q for some integers p and q with q ≠ 0. Observe that p is not 0 either, because 1/x is not 0.

Now we know that we can write x as a quotient of two integers, we need to imply that, then the next one is:

d) Observe that x is the quotient of two integers with the denominator nonzero.

And that is the definition of rational, then we end with:

b) Hence x is rational.

Which is what we wanted to get.

5 0
3 years ago
X = 3<br><br> x = 5<br><br> x = 0<br><br> x = 2
e-lub [12.9K]

Answer:

x=2 is incorrect

Step-by-step explanation:

Y(2)=(3/4)*x^2=(3/4)*4=3

3 0
3 years ago
What is the area of the following circle? Either enter an exact answer in terms of pi or use 3.14 for pi and enter your answer a
Delicious77 [7]

Answer:

3.14 units^2

Step-by-step explanation:

Area of a circle: pi (r)^2

pi (1)^2

pi units ^2

8 0
3 years ago
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