What are the solutions to the equation solvefor x,x^2-6x-19=0 ?

The solutions to the equation solvefor x,x^2-6x-19=0 are x=3+2sqrt(7),x=3-2sqrt(7)

Find the zeros of solvefor x,x^2-6x-19=0

The zeros of solvefor x,x^2-6x-19=0 are x=3+2sqrt(7),x=3-2sqrt(7)

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x, x^{2} - 6 x - 19 = 0

x = 3 + 27, x = 3 - 27

Decimal Notation

x = 8.29150 \dots, x = - 2.29150 \dots

Solution steps

x^{2} - 6 x - 19 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 6 ) \pm ( - 6 ) ^{2} - 4 \cdot 1 \cdot ( - 19 )}{2 \cdot 1}

(- 6)^{2} - 4 \cdot 1 \cdot (- 19) = 47

x_{1, 2} = \frac{- ( - 6 ) \pm 4 7}{2 \cdot 1}

Separate the solutions

x_{1} = \frac{- ( - 6 ) + 4 7}{2 \cdot 1}, x_{2} = \frac{- ( - 6 ) - 4 7}{2 \cdot 1}

x = \frac{- ( - 6 ) + 4 7}{2 \cdot 1} : 3 + 27

x = \frac{- ( - 6 ) - 4 7}{2 \cdot 1} : 3 - 27

The solutions to the quadratic equation are:

x = 3 + 27, x = 3 - 27

4 x^{2} - 16 = 32

x, x^{2} - (p + q) x + pq = 0

4 x^{2} = x + 1

4 x^{2} = 4 x - 3

7 y + 2 y^{2} = 15

What are the solutions to the equation solvefor x,x^2-6x-19=0 ?
The solutions to the equation solvefor x,x^2-6x-19=0 are x=3+2sqrt(7),x=3-2sqrt(7)
Find the zeros of solvefor x,x^2-6x-19=0
The zeros of solvefor x,x^2-6x-19=0 are x=3+2sqrt(7),x=3-2sqrt(7)