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Roots of Quadratic Equation

Solve:- x2 -...

Question

Solve:-
$x^{2} - 6 x + 7 = 0$

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Solution

$x^{2} - 6 x - 7 = 0$
$x^{2} - 7 x + x - 7 = 0$
$x (x - 7) + 1 (x - 7) = 0$
$x = - 1, 7$

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Q. Solve the quadratic equation

x^{2} + 6 x - 7 = 0

by completing the square.

x^{2} + 6 x - 7 = 0

by the method of completing the square

\frac{x^{2} + 6 x - 7}{x^{2} + 1} \leq 2

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