What are the solutions to the equation 5n^2-3n-15=0 ?

The solutions to the equation 5n^2-3n-15=0 are n=(3+sqrt(309))/(10),n=(3-sqrt(309))/(10)

Find the zeros of 5n^2-3n-15=0

The zeros of 5n^2-3n-15=0 are n=(3+sqrt(309))/(10),n=(3-sqrt(309))/(10)

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5 n^{2} - 3 n - 15 = 0

n = \frac{3 + 309}{10}, n = \frac{3 - 309}{10}

Decimal Notation

n = 2.05783 \dots, n = - 1.45783 \dots

Solution steps

5 n^{2} - 3 n - 15 = 0

Solve with the quadratic formula

n_{1, 2} = \frac{- ( - 3 ) \pm ( - 3 ) ^{2} - 4 \cdot 5 ( - 15 )}{2 \cdot 5}

(- 3)^{2} - 4 \cdot 5 (- 15) = 309

n_{1, 2} = \frac{- ( - 3 ) \pm 309}{2 \cdot 5}

Separate the solutions

n_{1} = \frac{- ( - 3 ) + 309}{2 \cdot 5}, n_{2} = \frac{- ( - 3 ) - 309}{2 \cdot 5}

n = \frac{- ( - 3 ) + 309}{2 \cdot 5} : \frac{3 + 309}{10}

n = \frac{- ( - 3 ) - 309}{2 \cdot 5} : \frac{3 - 309}{10}

The solutions to the quadratic equation are:

n = \frac{3 + 309}{10}, n = \frac{3 - 309}{10}

2 ak - 6 a + k - 3

6 x + 3 p

13 (8^{\frac{3}{4}}) - 4 (8^{\frac{3}{4}})

\frac{9 ^{7} + 3 ^{12}}{90}

5 y^{2} - 9 y - 2

What are the solutions to the equation 5n^2-3n-15=0 ?
The solutions to the equation 5n^2-3n-15=0 are n=(3+sqrt(309))/(10),n=(3-sqrt(309))/(10)
Find the zeros of 5n^2-3n-15=0
The zeros of 5n^2-3n-15=0 are n=(3+sqrt(309))/(10),n=(3-sqrt(309))/(10)