What are the solutions to the equation x^2-18x+67=0 ?

The solutions to the equation x^2-18x+67=0 are x=9+sqrt(14),x=9-sqrt(14)

Find the zeros of x^2-18x+67=0

The zeros of x^2-18x+67=0 are x=9+sqrt(14),x=9-sqrt(14)

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x^{2} - 18 x + 67 = 0

x = 9 + 14, x = 9 - 14

Decimal Notation

x = 12.74165 \dots, x = 5.25834 \dots

Solution steps

x^{2} - 18 x + 67 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 18 ) \pm ( - 18 ) ^{2} - 4 \cdot 1 \cdot 67}{2 \cdot 1}

(- 18)^{2} - 4 \cdot 1 \cdot 67 = 214

x_{1, 2} = \frac{- ( - 18 ) \pm 2 14}{2 \cdot 1}

Separate the solutions

x_{1} = \frac{- ( - 18 ) + 2 14}{2 \cdot 1}, x_{2} = \frac{- ( - 18 ) - 2 14}{2 \cdot 1}

x = \frac{- ( - 18 ) + 2 14}{2 \cdot 1} : 9 + 14

x = \frac{- ( - 18 ) - 2 14}{2 \cdot 1} : 9 - 14

The solutions to the quadratic equation are:

x = 9 + 14, x = 9 - 14

2 x^{2} - 2 = 2 x + 3

2 m^{2} + 5 m + 3 = 0

x^{2} - 4 \cdot (- 5) = 0

a, a (18 - 13 a) + 166 = 0

- 6 + 8 x - 3 x^{2} = 3

What are the solutions to the equation x^2-18x+67=0 ?
The solutions to the equation x^2-18x+67=0 are x=9+sqrt(14),x=9-sqrt(14)
Find the zeros of x^2-18x+67=0
The zeros of x^2-18x+67=0 are x=9+sqrt(14),x=9-sqrt(14)