Final Answer
$y=16.502999,\:y=-\frac{47}{277}$
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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
Divide $7$ by $3$
$\frac{1}{7}y^2-\frac{2}{5}=\frac{7}{3}y$
Learn how to solve quadratic equations problems step by step online.
$\frac{1}{7}y^2-\frac{2}{5}=\frac{7}{3}y$
Learn how to solve quadratic equations problems step by step online. Solve the quadratic equation 1/7y^2-2/5=7/3y. 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=\frac{1}{7}, b=-\frac{7}{3} and c=-\frac{2}{5}. Then substitute the values of the coefficients of the equation in the quadratic formula: \displaystyle x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}. Simplifying.
Final Answer
$y=16.502999,\:y=-\frac{47}{277}$