Solve the equation. 24n^{2}-38n+15=0

Tazmin Horton

Tazmin Horton

Answered question

2021-09-16

Solve the equation.
24n238n+15=0

Answer & Explanation

curwyrm

curwyrm

Skilled2021-09-17Added 87 answers

Step 1:Given
The equation 24n238n+15=0
Step 2:To determine
Solution of the given equation.
Step 3:Formula used
The roots of the quadratic equation Ax2+Bx+C=0 are given by:
B±D2A where D=B24AC
Step 4:Solution
Consider the given equation 24n238n+15=0
Here, A=24, B=-38, C=15
So, D=(38)24(24)(15)
D=14441440
D=4
So, roots are given by:
(38)+42(24),(38)42(24)n=
38+248,38248
4048,3648
56,34
Step 5:Conclusion
Hence, roots of the quadratic equation are n=56,34

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