Question

HELP PLZ DUE RN BRAINIEST TO WHOEVER RIGHT

Answer 1

Answer:

Answer:

x = \dfrac{2}{5} + \dfrac{\sqrt{14}}{5}x=

5

2

+

5

14

or x = \dfrac{2}{5} - \dfrac{\sqrt{14}}{5}x=

5

2

−

5

14

Step-by-step explanation:

5x^2 - 2 = 4x5x

2

−2=4x

5x^2 - 4x - 2 = 05x

2

−4x−2=0

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

2a

−b±

b

2

−4ac

x = \dfrac{-(-4) \pm \sqrt{(-4)^2 - 4(5)(-2)}}{2(5)}x=

2(5)

−(−4)±

(−4)

2

−4(5)(−2)

x = \dfrac{4 \pm \sqrt{16 + 40}}{10}x=

10

4±

16+40

x = \dfrac{4 \pm 2\sqrt{14}}{10}x=

10

4±2

14

x = \dfrac{2 \pm \sqrt{14}}{5}x=

5

2±

14

x = \dfrac{2}{5} + \dfrac{\sqrt{14}}{5}x=

5

2

+

5

14

or x = \dfrac{2}{5} - \dfrac{\sqrt{14}}{5}x=

5

2

−

5

14

Answer 2

Answer:

$x = \dfrac{2}{5} + \dfrac{\sqrt{14}}{5}$   or   $x = \dfrac{2}{5} - \dfrac{\sqrt{14}}{5}$

Step-by-step explanation:

$5x^2 - 2 = 4x$

$5x^2 - 4x - 2 = 0$

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

$x = \dfrac{-(-4) \pm \sqrt{(-4)^2 - 4(5)(-2)}}{2(5)}$

$x = \dfrac{4 \pm \sqrt{16 + 40}}{10}$

$x = \dfrac{4 \pm 2\sqrt{14}}{10}$

$x = \dfrac{2 \pm \sqrt{14}}{5}$

$x = \dfrac{2}{5} + \dfrac{\sqrt{14}}{5}$   or   $x = \dfrac{2}{5} - \dfrac{\sqrt{14}}{5}$