Final Answer
Step-by-step Solution
Specify the solving method
Use the complete the square method to factor the trinomial of the form $ax^2+bx+c$. Take common factor $a$ ($10$) to all terms
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$10\left(x^2-\frac{1}{10}x+\frac{51}{10}\right)=0$
Learn how to solve quadratic equations problems step by step online. Solve the quadratic equation 10x^2-x+51=0. Use the complete the square method to factor the trinomial of the form ax^2+bx+c. Take common factor a (10) to all terms. Add and subtract \displaystyle\left(\frac{b}{2a}\right)^2. Factor the perfect square trinomial x^2+-\frac{1}{10}xx+\frac{1}{400}. Subtract the values \frac{51}{10} and -\frac{1}{400}.