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Apply the formula: $ax^2+bx+c$$=a\left(x^2+\frac{b}{a}x+\frac{c}{a}\right)$, where $a=3$, $b=-1$ and $c=5$
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$y=3\left(x^2-\frac{1}{3}x+\frac{5}{3}\right)$
Learn how to solve equations problems step by step online. Solve the equation y=3x^2-x+5. Apply the formula: ax^2+bx+c=a\left(x^2+\frac{b}{a}x+\frac{c}{a}\right), where a=3, b=-1 and c=5. Apply the formula: a\left(x^2+b+c\right)=a\left(x^2+b+c+\left(\frac{coef\left(b\right)}{2}\right)^2-\left(\frac{coef\left(b\right)}{2}\right)^2\right), where a=3, b=-\frac{1}{3}x and c=\frac{5}{3}. Apply the formula: a\left(x^2+b+c+f+g\right)=a\left(\left(x+\sqrt{f}sign\left(b\right)\right)^2+c+g\right), where a=3, b=-\frac{1}{3}x, c=\frac{5}{3}, x^2+b=x^2-\frac{1}{3}x+\frac{5}{3}+\frac{1}{36}-\frac{1}{36}, f=\frac{1}{36} and g=-\frac{1}{36}. Apply the formula: \frac{a}{b}c=\frac{ca}{b}, where a=1, b=6, c=-1, a/b=\frac{1}{6} and ca/b=- \frac{1}{6}.
