Question

Select the values that are part of the solution set to the equation:
a² + 1 = 2a + 4

Answer 1

To find the values that are part of the solution set to the equation, we can use the quadratic formula. The solutions are a = 1 ± sqrt(2).

Step-by-step explanation:

The given equation is a quadratic equation of the form a2 + 1 = 2a + 4. To find the values that are part of the solution set, we need to solve this equation.

Rearranging the equation, we get a2 - 2a + 3 = 0.

Since this equation cannot be factored easily, we can use the quadratic formula: a = (-b ± sqrt(b2 - 4ac)) / (2a).

Substituting the values from the equation into the quadratic formula, we get a = (2 ± sqrt((-2)2 - 4(1)(3))) / (2(1)).

Simplifying further, we have a = (2 ± sqrt(4 - 12)) / 2, which gives us two solutions: a = 1 ± sqrt(2).