All categories

3 years ago

Find the solutions of the quadratic equation 3x^2 – 2x +4= 0.

Mathematics

1 answer:

Sergeeva-Olga [200]3 years ago

6 0

Answer:

C. x =(1±i√11)/3

Step-by-step explanation:

Use the quadratic formula to find the solutions.

(−b±√b²−4(ac))/2a

Substitute the values a=3, b=−2, and c=4 into the quadratic formula and solve for x.

2±√(−2)²−4⋅(3⋅4)2⋅3

Simplify.

x=(1±i√11)3

You might be interested in

Find all the missing dimensions when a=9, b=13, c=64°

DerKrebs [107]

Answer:

Part 1) $c=12.14\ units$

Part 2) $m\angle A=41.78^o$

Part 3) $m\angle B=74.22^o$

Step-by-step explanation:

step 1

Find the measure of side c

Applying the law of cosines

$c^2=a^2+b^2-2(a)(b)cos(C)$

we have

$a=9\ units\\b=13\ units\\C=64^o$

substitute

$c^2=9^2+13^2-2(9)(13)cos(64^o)$

$c^2=81+169-234cos(64^o)$

$c^2=250-234cos(64^o)$

$c^2=147.4212$

$c=12.14\ units$

step 2

Find the measure of angle A

Applying the law of sines

$\frac{a}{sin(A)}=\frac{c}{sin(C)}$

substitute the given values

$\frac{9}{sin(A)}=\frac{12.14}{sin(64^o)}$

solve for sin(A)

$sin(A)=\frac{sin(64^o)}{12.14}(9)$

$sin(A)=0.6663$

$m\angle A=sin^{-1}(0.6663)=41.78^o$

step 3

Find the measure of angle B

we know that

The sum of the interior angles in any triangle must be equal to 180 degrees

$m\angle A+m\angle B+m\angle C=180^o$

substitute the given values

$41.78^o+m\angle B+64^o=180^o$

$m\angle B+105.78^o=180^o$

$m\angle B=180^o-105.78^o$

$m\angle B=74.22^o$

5 0

3 years ago

What is square root in simplified form? What is in simplified form?

Anon25 [30]

Answer:

Step-by-step explanation:

Let as us 45 as the number we should use to get the square root in the simplest form

And then 144

The square root of a number in is simplest form means to get the number inside the radical as low as possible

8 0

3 years ago

Please help, i am very confused the answer has to be like 6π so ignore the π

Mice21 [21]

The equation for surface area is: $A= \pi r(r+ \sqrt{h^2+r^2}$ . To get r, you must use Pythagorean theorem. r is found to be 45. This means after you plug it in, you get about 13571.68

6 0

3 years ago

What is the solution to this system of equation y=4/3x-1

nikdorinn [45]

\left[y \right] = \left[ -1+\frac{4\,x}{3}\right][y]=[−1+34x] totally answer

4 0

3 years ago

Read 2 more answers

Jason is looking for an engagement ring to offer his girlfriend. He has found a similar ring at each of four different jewelry s

SOVA2 [1]

The correct answer for this question is this one:

According to the information in the table, which of the jewelry stores will have the cheapest ring in the end?

Jessie's Jewelry
price=$1,250.00
credit card APR=19%

Über Pawn
price= $1,328.00
credit card APR=18.5%

Diamonds Forever
price=$1,199.00
credit card APR=21%

Diamonds Forever
price=1,199.00
credit card APR=21%

a. Jessie's Jewelry

b. Über Pawn

c. Diamonds Forever

d. Drake and Family Gold
Hope this helps answer your question and have a nice day ahead.

7 0

3 years ago

Read 2 more answers