What are the solutions to the equation x^2-24x-6=0 ?

The solutions to the equation x^2-24x-6=0 are x=12+5sqrt(6),x=12-5sqrt(6)

Find the zeros of x^2-24x-6=0

The zeros of x^2-24x-6=0 are x=12+5sqrt(6),x=12-5sqrt(6)

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x^{2} - 24 x - 6 = 0

x = 12 + 56, x = 12 - 56

Decimal Notation

x = 24.24744 \dots, x = - 0.24744 \dots

Solution steps

x^{2} - 24 x - 6 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 24 ) \pm ( - 24 ) ^{2} - 4 \cdot 1 \cdot ( - 6 )}{2 \cdot 1}

(- 24)^{2} - 4 \cdot 1 \cdot (- 6) = 106

x_{1, 2} = \frac{- ( - 24 ) \pm 10 6}{2 \cdot 1}

Separate the solutions

x_{1} = \frac{- ( - 24 ) + 10 6}{2 \cdot 1}, x_{2} = \frac{- ( - 24 ) - 10 6}{2 \cdot 1}

x = \frac{- ( - 24 ) + 10 6}{2 \cdot 1} : 12 + 56

x = \frac{- ( - 24 ) - 10 6}{2 \cdot 1} : 12 - 56

The solutions to the quadratic equation are:

x = 12 + 56, x = 12 - 56

13 - 13 x = (4 x + 3) (x - 1)

5 x^{2} + 10 x + 78 = 8

0.5 x^{2} + 0.875 x - 0.0525 = 0

x, x^{2} + 4 x + 16 = 0

x (2 x + 4) + 5 x = - 7

What are the solutions to the equation x^2-24x-6=0 ?
The solutions to the equation x^2-24x-6=0 are x=12+5sqrt(6),x=12-5sqrt(6)
Find the zeros of x^2-24x-6=0
The zeros of x^2-24x-6=0 are x=12+5sqrt(6),x=12-5sqrt(6)