What are the solutions to the equation 5a^2+15a+7=0 ?

The solutions to the equation 5a^2+15a+7=0 are a=(-15+sqrt(85))/(10),a=(-15-sqrt(85))/(10)

Find the zeros of 5a^2+15a+7=0

The zeros of 5a^2+15a+7=0 are a=(-15+sqrt(85))/(10),a=(-15-sqrt(85))/(10)

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5 a^{2} + 15 a + 7 = 0

a = \frac{- 15 + 85}{10}, a = \frac{- 15 - 85}{10}

Decimal Notation

a = - 0.57804 \dots, a = - 2.42195 \dots

Solution steps

5 a^{2} + 15 a + 7 = 0

Solve with the quadratic formula

a_{1, 2} = \frac{- 15 \pm 1 5 ^{2} - 4 \cdot 5 \cdot 7}{2 \cdot 5}

1 5^{2} - 4 \cdot 5 \cdot 7 = 85

a_{1, 2} = \frac{- 15 \pm 85}{2 \cdot 5}

Separate the solutions

a_{1} = \frac{- 15 + 85}{2 \cdot 5}, a_{2} = \frac{- 15 - 85}{2 \cdot 5}

a = \frac{- 15 + 85}{2 \cdot 5} : \frac{- 15 + 85}{10}

a = \frac{- 15 - 85}{2 \cdot 5} : \frac{- 15 - 85}{10}

The solutions to the quadratic equation are:

a = \frac{- 15 + 85}{10}, a = \frac{- 15 - 85}{10}

(2 m - 1) x^{2} + (5 m + 1) x - 3 = 0

x^{2} + (\frac{9}{8})^{2} = 1

a, a^{2} + ab - 2 a - 2 b = 0

4 m^{2} + 20 m + 25 = 0

x^{2} - 13 x + 6.25 = 0

What are the solutions to the equation 5a^2+15a+7=0 ?
The solutions to the equation 5a^2+15a+7=0 are a=(-15+sqrt(85))/(10),a=(-15-sqrt(85))/(10)
Find the zeros of 5a^2+15a+7=0
The zeros of 5a^2+15a+7=0 are a=(-15+sqrt(85))/(10),a=(-15-sqrt(85))/(10)