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

The solutions to the equation x^2-15x-2=0 are x=(15+sqrt(233))/2 ,x=(15-sqrt(233))/2

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

The zeros of x^2-15x-2=0 are x=(15+sqrt(233))/2 ,x=(15-sqrt(233))/2

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

x = \frac{15 + 233}{2}, x = \frac{15 - 233}{2}

Decimal Notation

x = 15.13216 \dots, x = - 0.13216 \dots

Solution steps

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

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 15 ) \pm ( - 15 ) ^{2} - 4 \cdot 1 \cdot ( - 2 )}{2 \cdot 1}

(- 15)^{2} - 4 \cdot 1 \cdot (- 2) = 233

x_{1, 2} = \frac{- ( - 15 ) \pm 233}{2 \cdot 1}

Separate the solutions

x_{1} = \frac{- ( - 15 ) + 233}{2 \cdot 1}, x_{2} = \frac{- ( - 15 ) - 233}{2 \cdot 1}

x = \frac{- ( - 15 ) + 233}{2 \cdot 1} : \frac{15 + 233}{2}

x = \frac{- ( - 15 ) - 233}{2 \cdot 1} : \frac{15 - 233}{2}

The solutions to the quadratic equation are:

x = \frac{15 + 233}{2}, x = \frac{15 - 233}{2}

x^{2} + 30 x - 7000 = 0

2 x^{2} + 18 = 10

3 x^{2} + 9 x = 0

k, f = k x^{3} + x^{2} + k^{2} x + 3 k^{2} + 11

5 x = 3 x^{2} + 1

What are the solutions to the equation x^2-15x-2=0 ?
The solutions to the equation x^2-15x-2=0 are x=(15+sqrt(233))/2 ,x=(15-sqrt(233))/2
Find the zeros of x^2-15x-2=0
The zeros of x^2-15x-2=0 are x=(15+sqrt(233))/2 ,x=(15-sqrt(233))/2