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Formation of a Quadratic Equation From It's Roots

Find the zero...

Question

Find the zeroes of the polynomial 3^1/2x² - 8x + 4(3^1/2)

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Solution

Given quadratic equation = √3x² - 8x + 4√3 = 0
We should factorize the equation first.
=√3x²-6x-2x+4√3 = 0
= √3x(x-2√3)-2(x-2√3) = 0
= (√3x-2) (x-2√3) = 0
= (√3x-2) = 0 , (x-2√3) = 0
= x = 2/√3 , x = 2√3.

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Formation of a Quadratic Equation From It's Roots

Standard X Mathematics

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