Respuesta :

Step-by-step explanation:

[tex] \beta [/tex]

is a root of the quadratic

[tex]4 {x}^{2} - 10x + 5[/tex]

This quadratic isn't factorable so use the quadratic formula

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

The plus and minus sign after b means we going to have two roots.

The roots are

[tex] \frac{5 + \sqrt{5} }{4} [/tex]

and

[tex] \frac{5 - \sqrt{5} }{4} [/tex]

We subsitue those values for Beta.

27a.

[tex] \frac{5}{2} [/tex]

27b.

25

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