What are the solutions to the equation 3a+5a^2=2 ?

The solutions to the equation 3a+5a^2=2 are a= 2/5 ,a=-1

Find the zeros of 3a+5a^2=2

The zeros of 3a+5a^2=2 are a= 2/5 ,a=-1

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3 a + 5 a^{2} = 2

a = \frac{2}{5}, a = - 1

Solution steps

3 a + 5 a^{2} = 2

Move

2

to the left side

3 a + 5 a^{2} - 2 = 0

Write in the standard form

a x^{2} + b x + c = 0

5 a^{2} + 3 a - 2 = 0

Solve with the quadratic formula

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

3^{2} - 4 \cdot 5 (- 2) = 7

a_{1, 2} = \frac{- 3 \pm 7}{2 \cdot 5}

Separate the solutions

a_{1} = \frac{- 3 + 7}{2 \cdot 5}, a_{2} = \frac{- 3 - 7}{2 \cdot 5}

a = \frac{- 3 + 7}{2 \cdot 5} : \frac{2}{5}

a = \frac{- 3 - 7}{2 \cdot 5} : - 1

The solutions to the quadratic equation are:

a = \frac{2}{5}, a = - 1

4 x - 5 + 4 x - 5 = 90

\frac{1000 0 ^{2} \cdot 1.5 \cdot 1 0 ^{- 12}}{3.5}

2 x^{2} = 98

5 x + 3 - 5 x = 7

1 - \frac{2 - x}{3} = 2

What are the solutions to the equation 3a+5a^2=2 ?
The solutions to the equation 3a+5a^2=2 are a= 2/5 ,a=-1
Find the zeros of 3a+5a^2=2
The zeros of 3a+5a^2=2 are a= 2/5 ,a=-1