Final answer to the problem
$x<7$
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Step-by-step Solution
How should I solve this problem?
- Choisir une option
- Produit de binômes avec terme commun
- Méthode FOIL
- Weierstrass Substitution
- Prouver à partir du LHS (côté gauche)
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1
Apply the formula: $x+a+b<c$$=x+b<c-a$, where $a=14$, $b=-9x$, $c=0$ and $x=x^2$
$x^2-9x<0-14$
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$x^2-9x<0-14$
Learn how to solve problems step by step online. Solve the inequality x^2-9x+14<0. Apply the formula: x+a+b<c=x+b<c-a, where a=14, b=-9x, c=0 and x=x^2. Apply the formula: a+b=a+b, where a=0, b=-14 and a+b=0-14. Apply the formula: x^2+bx=x^2+bx+\left(\frac{b}{2}\right)^2-\left(\frac{b}{2}\right)^2, where b=-9, bx=-9x and x^2+bx=x^2-9x. Apply the formula: x^2+bx+f+g=\left(x+\sqrt{f}sign\left(b\right)\right)^2+g, where b=-9, bx=-9x, f=\frac{81}{4}, g=- \frac{81}{4} and x^2+bx=x^2-9x+\frac{81}{4}- \frac{81}{4}.
Final answer to the problem
$x<7$
