Question

3x^2 - 4x = 2

Answer 1

Answer:

$x = \frac{2 + \sqrt{10} }{3} \: \: \: or \: \: \: x = \frac{2 - \sqrt{10} }{3}$

Step-by-step explanation:

3x² - 4x - 2 = 0

Using the quadratic formula

That's

$x = \frac{ - b\pm \sqrt{ {b}^{2} - 4ac } }{2a}$

From the question

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

So we have

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

We have the final answer as

$x = \frac{2 + \sqrt{10} }{3} \: \: \: or \: \: \: x = \frac{2 - \sqrt{10} }{3}$

Hope this helps you

Answer 2

Answer:

Step-by-step explanation:

3x^2 - 4x - 2 = 0

4/6 + (sqrt(16 - 4(3)(-2)))/6

2/3 + (sqrt(16+24))/6

2/3 + (sqrt(40))/6

2/3 + 2(sqrt(10)/6

2/3 + (sqrt(10))/3