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Solve the quadratic equation 27y^2-314y+699
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Solve the quadratic equation 27y^2-314y+699
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Mathematics
1 year
2021-09-04T17:51:50+00:00
2021-09-04T17:51:50+00:00 1 Answers
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Answer:
[tex]3; \frac{233}{27}[/tex].
Step-by-step 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:
[tex]\left[\begin{array}{ccc}y=\frac{157-\sqrt{5776} }{27} \\ y=\frac{157+\sqrt{5776} }{27} \end{array}[/tex]
[tex]<=> \ \left[\begin{array}{ccc}y=3\\y=\frac{233}{27} \end{array}[/tex]