Evaluate (-(11)-v((-11)^2-4*-16*123))/(2(-16))

Problem

(−(−11)−√(,(−11)2−4*(−16)*(123)))/(2*(−16))

Solution

1. Simplify the numerator's leading term by applying the double negative.

−(−11)=11

2. Calculate the discriminant inside the square root by squaring the first term and multiplying the constants.

(−11)2=121

−4*(−16)*(123)=64*(123)=7872

121+7872=7993

3. Simplify the denominator by multiplying the constants.

2*(−16)=−32

4. Combine the results into the simplified fraction.

(11−√(,7993))/(−32)

5. Distribute the negative sign from the denominator to the numerator to clean up the expression.

(−(11−√(,7993)))/32

(√(,7993)−11)/32

Final Answer

(−(−11)−√(,(−11)2−4*(−16)*(123)))/(2*(−16))=(√(,7993)−11)/32

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