What are the solutions to the equation x^2-24x+19=0 ?

The solutions to the equation x^2-24x+19=0 are x=12+5sqrt(5),x=12-5sqrt(5)

Find the zeros of x^2-24x+19=0

The zeros of x^2-24x+19=0 are x=12+5sqrt(5),x=12-5sqrt(5)

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x^{2} - 24 x + 19 = 0

x = 12 + 55, x = 12 - 55

Decimal Notation

x = 23.18033 \dots, x = 0.81966 \dots

Solution steps

x^{2} - 24 x + 19 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 24 ) \pm ( - 24 ) ^{2} - 4 \cdot 1 \cdot 19}{2 \cdot 1}

(- 24)^{2} - 4 \cdot 1 \cdot 19 = 105

x_{1, 2} = \frac{- ( - 24 ) \pm 10 5}{2 \cdot 1}

Separate the solutions

x_{1} = \frac{- ( - 24 ) + 10 5}{2 \cdot 1}, x_{2} = \frac{- ( - 24 ) - 10 5}{2 \cdot 1}

x = \frac{- ( - 24 ) + 10 5}{2 \cdot 1} : 12 + 55

x = \frac{- ( - 24 ) - 10 5}{2 \cdot 1} : 12 - 55

The solutions to the quadratic equation are:

x = 12 + 55, x = 12 - 55

0 = x (75 - 0.0005 x) - 30 x + 250000

g^{2} - 10 g + 7 = 0

3 x (x + 1) = (3 x + 2) (2 x + 4)

4 x^{2} - 10 x - 2 = 0

(x + 8) (x + 4) = 5^{1}

What are the solutions to the equation x^2-24x+19=0 ?
The solutions to the equation x^2-24x+19=0 are x=12+5sqrt(5),x=12-5sqrt(5)
Find the zeros of x^2-24x+19=0
The zeros of x^2-24x+19=0 are x=12+5sqrt(5),x=12-5sqrt(5)