Question

The equation 2x2−6x−9=0 has two solutions.

Answer 1

The solution to the given equation is 3±3√3/2

Solving quadratic equation

Given the quadratic equation below

2x^2−6x−9=0

Solve using the general formula to have:

a = 2

b = -6

c = -9

Substitute

x = -b±√b²-4ac/2a

x = -(-6)±√(-6)²-4(2)(-9)/2(2)

x = 6±√36+72/4

x = 6±√108/4

x = 6±6√3/4

x = 3±3√3/2

Hence the solution to the given equation is 3±3√3/2

Learn more on quadratic equation here: brainly.com/question/1214333

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