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Scrat [10]
2 years ago
12

3x^2 - 4x = 2

Mathematics
2 answers:
Elena L [17]2 years ago
4 0

Answer:

<h3>x =  \frac{2 +  \sqrt{10} }{3}  \:  \:  \: or \:  \:  \: x =  \frac{2 -  \sqrt{10} }{3}</h3>

Step-by-step explanation:

3x² - 4x - 2 = 0

Using the quadratic formula

That's

<h3>x =  \frac{ - b\pm \sqrt{ {b}^{2} - 4ac } }{2a}</h3>

From the question

a = 3 , b = - 4 , c = - 2

So we have

<h3>x =  \frac{ -  - 4\pm \sqrt{( { - 4})^{2}  - 4(3)( - 2)} }{2(3)}  \\ x =  \frac{4\pm \sqrt{16 + 24} }{6}  \\ x =  \frac{4\pm \sqrt{40} }{6}  \\ x =  \frac{4\pm2 \sqrt{10} }{6}  \\ x =  \frac{4}{6} \pm \frac{ 2\sqrt{10} }{6}  \\ x =  \frac{2}{3} \pm \frac{ \sqrt{10} }{3}  \\ x =  \frac{2\pm \sqrt{10} }{3}</h3>

We have the final answer as

<h3>x =  \frac{2 +  \sqrt{10} }{3}  \:  \:  \: or \:  \:  \: x =  \frac{2 -  \sqrt{10} }{3}</h3>

Hope this helps you

bulgar [2K]2 years ago
3 0

Answer:

Step-by-step explanation:

3x^2 - 4x - 2 = 0

4/6 <u>+</u> (sqrt(16 - 4(3)(-2)))/6

2/3 <u>+</u> (sqrt(16+24))/6

2/3 <u>+</u> (sqrt(40))/6

2/3 <u>+</u> 2(sqrt(10)/6

2/3 <u>+</u> (sqrt(10))/3

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Step-by-step explanation:

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