Final Answer
$x<1.207107$
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Step-by-step Solution
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1
Rewrite the inequation
$-x^2+x+\frac{1}{4}<0$
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$-x^2+x+\frac{1}{4}<0$
Learn how to solve problems step by step online. Solve the inequality x-x^2<-1/4. Rewrite the inequation. Use the complete the square method to factor the trinomial of the form ax^2+bx+c. Take common factor a (-1) to all terms. Add and subtract \displaystyle\left(\frac{b}{2a}\right)^2. Factor the perfect square trinomial x^2+-1x+\frac{1}{4}.
Final Answer
$x<1.207107$