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Formation of Algebraic Equations

If x2 + 5x-...

Question

If $x^{2} + 5 x - 14 = 0$ , and $x > 0$ , then what is the value of $x$ ?

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Solution

The correct option is C $2$
Given is the equation,
$x^{2} + 5 x - 14 = 0$
$\Rightarrow x^{2} - 2 x + 7 x - 14 = 0$
$\Rightarrow x (x - 2) + 7 (x - 2) = 0$
$\Rightarrow (x - 2) (x + 7) = 0$
So, $x = 2$ or $x = - 7$
Value of $x$ will be $2$ as its given in question that $x > 0$

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