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Nature of Roots

Find the valu...

Question

Find the value of x if $x^{2} + 2 x + 6 = 9$

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Solution

$x^{2} + 2 x + 6 = 9 x^{2} + 2 x - 3 = 0 x^{2} + 3 x - x - 3 = 0 x (x + 3) - 1 (x + 3) = 0 (x - 1) (x + 3) = 0 x = 1, - 3$

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