Respuesta :

Answer:

x = 2.68, x = -0.186

Step-by-step explanation:

We are given the following equation that we are to solve:

[tex] 2 x ^ 2 - 1 = 5 x [/tex]

Rearranging this quadratic equation to get:

[tex] 2 x ^ 2 -5 x - 1 = 0 [/tex]

Solving it by using the quadratic formula as we cannot find any factors for it.

[tex]x= \frac{-b \pm \sqrt{b^2-4ac} }{2a}[/tex]

[tex]x=\frac{-(-5) \pm (-5)^2-4(2)(-1)}{2(2)}[/tex]

[tex]x=\frac{5 \pm\sqrt{25+8} }{4}[/tex]

[tex]x=\frac{5+\sqrt{33} }{4}[/tex], [tex]x=\frac{5-\sqrt{33} }{4}[/tex]

x = 2.68, x = -0.186

Answer:

x = 2.68, x = -0.186 is the answer , i got a 100% on my test

Step-by-step explanation: