For what values of $x$ the expression $x^2 - 5x - 14$ is positive?

For what values of x the expression x² - 5x - 14 i – Class 12 Mathematics

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Factor the quadratic and use the sign rule: an upward parabola is positive outside its roots.

Factor $x^2-5x-14$ : we need two numbers that multiply to $-14$ and add to $-5$ — these are $-7$ and $2$ .

$x^2-5x-14 = (x-7)(x+2)$

The roots are $x=7$ and $x=-2$ . Since the coefficient of $x^2$ is positive ( $+1$ ), the parabola $y=x^2-5x-14$ opens upward, so the expression is: …

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Q.For what values of $x$ the expression $x^2 - 5x - 14$ is positive?

Concept understanding — Quadratic Expressions

Q.For what values of xxx the expression x2−5x−14x^2 - 5x - 14x2−5x−14 is positive?

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Q.For what values of $x$ the expression $x^2 - 5x - 14$ is positive?

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