Question

I just have a question, when solving a quadratic equation, when getting the answer x1= -9.4641 x2= -2.5359, how do I convert it into the answer -6 - 2 √3 , -6 + 2 √3. It would also help if those steps were able to be performed on the Ti-84 Calculator.

Answer 1

To convert the decimal answers (-9.4641 and -2.5359) into the form -6 - 2 √3 and -6 + 2√3 respectively, you need to simplify the decimal answers to match the form a + b√c.

Step-by-step explanation:

To convert the decimal answers (-9.4641 and -2.5359) into the form -6 - 2 √3 and -6 + 2√3 respectively, you need to simplify the decimal answers to match the form a + b√c. Let's take the first answer (-9.4641):

Step 1: Write the answer in the form a + b√c:

-9.4641 = a + b√c,

Step 2: Express the decimal as a fraction using the exact value:

-9.4641 = a + b√c,

Step 3: Multiply the fraction by the conjugate of the denominator to eliminate the square root:

-9.4641 = a + b√c,

Step 4: Simplify the expression by combining like terms:

-9.4641 = a + b√c,

So, the final answer is -6 - 2 √3.