What are the solutions to the equation 2.3x^2-15x-3.1=0 ?

The solutions to the equation 2.3x^2-15x-3.1=0 are x=(75+sqrt(6338))/(23),x=(75-sqrt(6338))/(23)

Find the zeros of 2.3x^2-15x-3.1=0

The zeros of 2.3x^2-15x-3.1=0 are x=(75+sqrt(6338))/(23),x=(75-sqrt(6338))/(23)

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2.3 x^{2} - 15 x - 3.1 = 0

x = \frac{75 + 6338}{23}, x = \frac{75 - 6338}{23}

Decimal Notation

x = 6.72224 \dots, x = - 0.20050 \dots

Solution steps

2.3 x^{2} - 15 x - 3.1 = 0

Multiply both sides by

10

23 x^{2} - 150 x - 31 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 150 ) \pm ( - 150 ) ^{2} - 4 \cdot 23 ( - 31 )}{2 \cdot 23}

(- 150)^{2} - 4 \cdot 23 (- 31) = 26338

x_{1, 2} = \frac{- ( - 150 ) \pm 2 6338}{2 \cdot 23}

Separate the solutions

x_{1} = \frac{- ( - 150 ) + 2 6338}{2 \cdot 23}, x_{2} = \frac{- ( - 150 ) - 2 6338}{2 \cdot 23}

x = \frac{- ( - 150 ) + 2 6338}{2 \cdot 23} : \frac{75 + 6338}{23}

x = \frac{- ( - 150 ) - 2 6338}{2 \cdot 23} : \frac{75 - 6338}{23}

The solutions to the quadratic equation are:

x = \frac{75 + 6338}{23}, x = \frac{75 - 6338}{23}

3 x^{2} + 7 x - 13 = 0

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4 b^{2} - 4 b - 35 = 0

x, x^{2} + y^{2} - z^{2} = 0

6 = - \frac{1}{2} t^{2} + 6 t - 9

What are the solutions to the equation 2.3x^2-15x-3.1=0 ?
The solutions to the equation 2.3x^2-15x-3.1=0 are x=(75+sqrt(6338))/(23),x=(75-sqrt(6338))/(23)
Find the zeros of 2.3x^2-15x-3.1=0
The zeros of 2.3x^2-15x-3.1=0 are x=(75+sqrt(6338))/(23),x=(75-sqrt(6338))/(23)