Question

√3 x^2-2√x+3√3=0 solve the equation​

Answer 1

3x2 – 2√2 x – 2√3 = 0

Using the quadratic formula to find the roots of quadratic equation are,

- b ± b 2 - 4 a c 2 a ,

where b2 - 4ac is called the discriminant of the quadratic equation.

a = 3 , b = -2√2 and c = – 2√3

b2 - 4ac = 8 + 24√3

x = [ 2√2 ± √(8 + 24√3) ] / 6

x = [ 2(√2 ± √(2 + 6√3) )] / 6

∴ x = [ (√2 ± √(2 + 6√3) )] / 3

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