What are the solutions to the equation 2a^2+3a-35=0 ?

The solutions to the equation 2a^2+3a-35=0 are a= 7/2 ,a=-5

Find the zeros of 2a^2+3a-35=0

The zeros of 2a^2+3a-35=0 are a= 7/2 ,a=-5

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2 a^{2} + 3 a - 35 = 0

a = \frac{7}{2}, a = - 5

Decimal Notation

a = 3.5, a = - 5

Solution steps

2 a^{2} + 3 a - 35 = 0

Solve with the quadratic formula

a_{1, 2} = \frac{- 3 \pm 3 ^{2} - 4 \cdot 2 ( - 35 )}{2 \cdot 2}

3^{2} - 4 \cdot 2 (- 35) = 17

a_{1, 2} = \frac{- 3 \pm 17}{2 \cdot 2}

Separate the solutions

a_{1} = \frac{- 3 + 17}{2 \cdot 2}, a_{2} = \frac{- 3 - 17}{2 \cdot 2}

a = \frac{- 3 + 17}{2 \cdot 2} : \frac{7}{2}

a = \frac{- 3 - 17}{2 \cdot 2} : - 5

The solutions to the quadratic equation are:

a = \frac{7}{2}, a = - 5

(x + 8)^{2} = 2

5 x^{2} - 1 = 4 x

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

c, 16 c^{2} - 200 c + 49 = 0

3 b^{2} + 1 = - 2 b

What are the solutions to the equation 2a^2+3a-35=0 ?
The solutions to the equation 2a^2+3a-35=0 are a= 7/2 ,a=-5
Find the zeros of 2a^2+3a-35=0
The zeros of 2a^2+3a-35=0 are a= 7/2 ,a=-5