What are the solutions to the equation x^2-14x+19=0 ?

The solutions to the equation x^2-14x+19=0 are x=7+sqrt(30),x=7-sqrt(30)

Find the zeros of x^2-14x+19=0

The zeros of x^2-14x+19=0 are x=7+sqrt(30),x=7-sqrt(30)

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x^{2} - 14 x + 19 = 0

x = 7 + 30, x = 7 - 30

Decimal Notation

x = 12.47722 \dots, x = 1.52277 \dots

Solution steps

x^{2} - 14 x + 19 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 14 ) \pm ( - 14 ) ^{2} - 4 \cdot 1 \cdot 19}{2 \cdot 1}

(- 14)^{2} - 4 \cdot 1 \cdot 19 = 230

x_{1, 2} = \frac{- ( - 14 ) \pm 2 30}{2 \cdot 1}

Separate the solutions

x_{1} = \frac{- ( - 14 ) + 2 30}{2 \cdot 1}, x_{2} = \frac{- ( - 14 ) - 2 30}{2 \cdot 1}

x = \frac{- ( - 14 ) + 2 30}{2 \cdot 1} : 7 + 30

x = \frac{- ( - 14 ) - 2 30}{2 \cdot 1} : 7 - 30

The solutions to the quadratic equation are:

x = 7 + 30, x = 7 - 30

x^{2} + 14 x + 45

- 4 x^{2} - 16 x + 180

\frac{7}{16} + \frac{3}{8}

e^{4 (0)}

- 5 m^{3} - 6 m^{2} + 20 m + 24

What are the solutions to the equation x^2-14x+19=0 ?
The solutions to the equation x^2-14x+19=0 are x=7+sqrt(30),x=7-sqrt(30)
Find the zeros of x^2-14x+19=0
The zeros of x^2-14x+19=0 are x=7+sqrt(30),x=7-sqrt(30)