Question

Ruby is using the quadratic formula to solve a quadratic equation. which of the following is the next step for simplifying x=−6±85√2 responses

x=−3±8√5

x=−3±√5

x=−3±4√5

this is fully simplified.

Answer 1

The next step for simplifying x=−6±85√2 is to evaluate the expression −6±85√2 using a calculator or by hand. Once you have evaluated this expression, you can simplify the expression further by combining any like terms.

After evaluating −6±85√2, you will obtain two solutions for x, which can be simplified further. To simplify the solutions, you can rationalize the denominator by multiplying both the numerator and the denominator by the conjugate of the denominator.

Multiplying by the conjugate of the denominator, we get:

x=−6±85√2
x=−6±85√2 * (85√2 ± 6) / (85√2 ± 6)

Simplifying this expression, we get:

x=−3±4√5

Therefore, the answer is x=−3±4√5.