Question

the quadratic formula is used to solve an equation and the result is 2+- square root of 36/6 the solution set for the equation is

Answer 1

`\left \{-(2)/(3), (4)/(3) \right \}`

Explanation:

Resultant expression of solving a quadratic formula:

`(2 \pm √(36))/(6)`

To find the solution set, simplify the resultant expression.

Case 1

`\begin{aligned}\implies (2- √(36))/(6)&=(2 -6)/(6)\\\\&=-(4)/(6)\\\\&=-(2 \cdot 2)/(2 \cdot 3)\\\\&=-(2)/(3)\end{aligned}`

Case 2

`\begin{aligned}\implies (2+ √(36))/(6)&=(2 +6)/(6)\\\\&=(8)/(6)\\\\&=(2 \cdot 4)/(2 \cdot 3)\\\\&=(4)/(3)\end{aligned}`

Therefore, the solution set for the equation is:

`\left \{-(2)/(3), (4)/(3) \right \}`