Final answer to the problem
$y=\frac{4+\sqrt{76}}{6},\:y=\frac{4-\sqrt{76}}{6}$
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Step-by-step Solution
Learn how to solve quadratic formula problems step by step online. Solve the quadratic equation 3y^2-4y=5. Rewrite 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=3, b=-4 and c=-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. To obtain the two solutions, divide the equation in two equations, one when \pm is positive (+), and another when \pm is negative (-).
Final answer to the problem
$y=\frac{4+\sqrt{76}}{6},\:y=\frac{4-\sqrt{76}}{6}$
