Determine- if 3 is a root of the equation given below-x 2-4 x-3-x 2-9-4 - 2-14 x-16

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Quadratic Polynomial

Determine. if...

Question

Determine. if 3 is a root of the equation given below:
$\sqrt{x^{2} - 4 x + 3} + \sqrt{x^{2} - 9} = \sqrt{4 x^{2} - 14 x + 16}$

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\sqrt{x^{2} - 4 x + 3} + \sqrt{x^{2} - 9} = \sqrt{4 x^{2} - 14 x + 16}

x = \frac{4}{3}

x^{2} - \frac{16}{9} = 0

2 x^{2} - x + 9 = x^{2} + 4 x + 3, x = 2, x = 3.

p (x) = \sqrt{x^{2} - 4 x + 3} + \sqrt{x^{2} - 9} - \sqrt{4 x^{2} - 14 x + 6}

x^{2} - 4 x + 4 = 0

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