√3x²-2√2x-2√3=0 factorise it and then find the value of x with steps winner will be awarded
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Answer:
√6 , -(√6/3 ) are two roots of given Quadratic equation.
Explanation:
Given quadratic equation:
√3x²-2√2x-2√3=0
Splitting the middle term, we get
=> √3x²-3√2x+√2x-2√3=0
=> √3x²-√3×√3×√2x+√2x-√2×√2×√3=0
=> √3x(x-√6)x+√2(x-√6)=0
=> (x-√6)(√3x+√2)=0
=> x-√6=0 Or √3x+√2=0
=> x = √6 Or x = (-√2)/√3
=> x= √6 Or x = -(√6)/3
Therefore,
√6 , -(√6/3 ) are two roots of given Quadratic equation.
Hope it helps
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