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Factorisation Using Algebraic Identities

The value of ...

Question

The value of $x$ if $x^{2} - 10 x + 16 = 0$

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Solution

$x^{-} 6 x + 16 = 0 x^{2} + 8 x + 2 x + 16 = 0 x (x + 8) + 2 (x + 8) = 0 (x + 2) (x + 8) = 0 x = - 2, - 8$

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Q. The set of values of

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for which the inequalities

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10 x - x^{2} - 16 > 0

hold simultaneously, is

Write $x^{2}$ +10x+16 =0 in the form $x^{2}$ +px+qx+16 =0 such that p x q = 16

x^{2} + 10 x = 24,

x > 0

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Q. The number of integral values of

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Q. The number of integral values of x satisfying

\sqrt{- x^{2} + 10 x - 16} < x - 2

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