Respuesta :

prosborough198p2ub41
use the quadratic formula to solve. the answer is the third one down

x= -sqrt10 - 4 and sqrt10 - 4 

or in their notation above x= -4+/-10--sqrt

The values of x are [tex]2\sqrt{10} - 4[/tex] or [tex]-2\sqrt{10} - 4[/tex]

To solve the given equation, we are going to use quadratic formula

Quadratic Formula

The quadratic formula is used to solve quadratic equations by plugging the coefficient of the variables into the equations.

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

Let's define our coefficients

  • a = 1
  • b = 8
  • c = 6

Let's substitute the values and solve

[tex]x = \frac{-b +-\sqrt{b^2 - 4ac} }{2a} \\x = \frac{-8 +- \sqrt{8^2 - 4 * 1 * 6} }{2 * 1} \\x = \frac{-8 + - \sqrt{40} }{2} \\x = -4(+/-) 2\sqrt{10}\\ x = -4 + 2\sqrt{10}\\ x = 2\sqrt{10} - 4\\\\or \\x = -4 - 2\sqrt{10} \\x = -2\sqrt{10} - 4[/tex]

From the calculations above, the values of x are [tex]2\sqrt{10} - 4[/tex] or [tex]-2\sqrt{10} - 4[/tex]

Learn more on quadratic formula here;

https://brainly.com/question/7784687

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