Question

Solve the quadratic equation 27y^2-314y+699​

Answer 1

`3; (233)/(27)`.

Explanation:

1) to calculate the discriminant of the given equation:

D=(314/2)²-699*27=5776.

2) to calculate the roots of the given equation:

`\left[\begin{array}{ccc}y=(157-√(5776) )/(27) \\ y=(157+√(5776) )/(27) \end{array}`

`<=> \ \left[\begin{array}{ccc}y=3\\y=(233)/(27) \end{array}`