What are the solutions to the equation 289x^2+378x+89=0 ?

The solutions to the equation 289x^2+378x+89=0 are x=-89/289 ,x=-1

Find the zeros of 289x^2+378x+89=0

The zeros of 289x^2+378x+89=0 are x=-89/289 ,x=-1

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289 x^{2} + 378 x + 89 = 0

x = - \frac{89}{289}, x = - 1

Decimal Notation

x = - 0.30795 \dots, x = - 1

Solution steps

289 x^{2} + 378 x + 89 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 378 \pm 37 8 ^{2} - 4 \cdot 289 \cdot 89}{2 \cdot 289}

37 8^{2} - 4 \cdot 289 \cdot 89 = 200

x_{1, 2} = \frac{- 378 \pm 200}{2 \cdot 289}

Separate the solutions

x_{1} = \frac{- 378 + 200}{2 \cdot 289}, x_{2} = \frac{- 378 - 200}{2 \cdot 289}

x = \frac{- 378 + 200}{2 \cdot 289} : - \frac{89}{289}

x = \frac{- 378 - 200}{2 \cdot 289} : - 1

The solutions to the quadratic equation are:

x = - \frac{89}{289}, x = - 1

y, x y^{2} - 2 x^{3} = 2

- 2 (x - 3)^{2} + 7 = - 4

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

2 q^{2} + 10 q - 3 = 0

3 x^{2} + 10 x + 9 = - 3 x + 5

What are the solutions to the equation 289x^2+378x+89=0 ?
The solutions to the equation 289x^2+378x+89=0 are x=-89/289 ,x=-1
Find the zeros of 289x^2+378x+89=0
The zeros of 289x^2+378x+89=0 are x=-89/289 ,x=-1