Final Answer
$y=\frac{239}{98},\:y=-\frac{31}{294}$
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Step-by-step Solution
Problem to solve:
$\frac{1}{7}+y^2-\frac{2}{5}=\frac{7}{3}y$
Specify the solving method
1
Subtract the values $\frac{1}{7}$ and $-\frac{2}{5}$
$-\frac{9}{35}+y^2=\frac{7}{3}y$
Learn how to solve quadratic equations problems step by step online.
$-\frac{9}{35}+y^2=\frac{7}{3}y$
Learn how to solve quadratic equations problems step by step online. Solve the quadratic equation 1/7+y^2-2/5=7/3y. Subtract the values \frac{1}{7} and -\frac{2}{5}. Divide 7 by 3. Grouping all terms to the left side of the equation. To find the roots of a polynomial of the form ax^2+bx+c we use the quadratic formula, where in this case a=1, b=-\frac{7}{3} and c=-\frac{9}{35}. Then substitute the values of the coefficients of the equation in the quadratic formula: \displaystyle x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}.
Final Answer
$y=\frac{239}{98},\:y=-\frac{31}{294}$