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user100 [1]
3 years ago
10

What are the solutions of 3 x^2-x+4=0

Mathematics
1 answer:
Alinara [238K]3 years ago
8 0

Answer:

The solution of given equation for x is  (0.16 + i 1.14) , (0.16 - i 1.14)  

Step-by-step explanation:

Given as :

The quadratic equation is as 3 x² - x + 4 = 0

Since The given equation is quadratic

∵, Standard quadratic equation is ax² + bx + c = 0

Now, x = \frac{-b\pm \sqrt{b^{2} - 4\times a\times c}}{2\times a}

<u>Comparing the equation</u>

i.e x = \frac{-(-1)\pm \sqrt{(-1)^{2} - 4\times 3\times 4}}{2\times 3}

or, x = \dfrac{1\pm \sqrt{(1-48)}}{6}

Or, x = \dfrac{1\pm \sqrt{(-47)}}{6}

Or, x = \dfrac{1\pm i6.85}{6}

Or, x = (0.16 + i 1.14)   , (0.16 - i 1.14)

So, The solution of given equation for x = (0.16 + i 1.14)   , (0.16 - i 1.14)

Hence, The solution of given equation for x is  (0.16 + i 1.14) , (0.16 - i 1.14)  . Answer

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The students in Mr. Nolan's class are writing expressions for the perimeter of a rectangle of side length ? and width w.
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You wanna know witch student is correct?
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2 years ago
Which system of equations below has infinitely many solutions? y = –3x 4 and y = –3x – 4 y = –3x 4 and 3y = –9x 12 y = –3x 4 and
Flura [38]

the equations y = –3x + 4 and 3y = –9x + 12 have infinitely many solutions. option B is correct.

<h3>What is the linear system?</h3>

It is a system of an equation in which the highest power of the variable is always 1. A one-dimension figure that has no width. It is a combination of infinite points side by side.

Condition for the parallel lines.

L1,  ax + bx + c = 0

L2, dx + ey + f = 0

If \rm \dfrac{a}{d} = \dfrac{b}{e} = \dfrac{c}{f} then lines have infinitely many solutions.

<h3>Which system of equations below has infinitely many solutions?</h3>

y = –3x + 4 and 3y = –9x + 12

On comparing we have

a = -3 , b = 1, and c = 4

d = -9 , e = 3, and f = 12

Then their ratio will be

\rm \dfrac{1}{3} = \dfrac{-3}{-9} = \dfrac{4}{12}\\\\\rm \dfrac{1}{3} = \dfrac{1}{3} = \dfrac{1}{3}

Hence  y = –3x + 4 and 3y = –9x + 12 have infinitely many solutions.

Thus the option B is correct.

More about the linear system link is given below.

brainly.com/question/20379472

7 0
2 years ago
Fill in the missing reason for the last step.
jek_recluse [69]

Answer:

Division

Step-by-step explanation:

You divided both sides of the inequality by -3. Multiplying/dividing by negative numbers change the sign of the inequality, so you have ">" turned into "<".

6 0
3 years ago
Find y if x=15 if y is 6 x=30
Len [333]
I'm not sure if this question was correctly transcribed but is it suppose to read find if x=15, find y = 6x+30 ?

If so then y = 120

The way it is written now, If x = 15 then 6x cannot equal 30 which is why I asked.  Sorry if I'm not understanding the question.



6 0
3 years ago
Please answer
GuDViN [60]
The answer is going to be d
3 0
3 years ago
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