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
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