What are the solutions to the equation x^2-10x+11=0 ?

The solutions to the equation x^2-10x+11=0 are x=5+sqrt(14),x=5-sqrt(14)

Find the zeros of x^2-10x+11=0

The zeros of x^2-10x+11=0 are x=5+sqrt(14),x=5-sqrt(14)

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x^{2} - 10 x + 11 = 0

x = 5 + 14, x = 5 - 14

Decimal Notation

x = 8.74165 \dots, x = 1.25834 \dots

Solution steps

x^{2} - 10 x + 11 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 10 ) \pm ( - 10 ) ^{2} - 4 \cdot 1 \cdot 11}{2 \cdot 1}

(- 10)^{2} - 4 \cdot 1 \cdot 11 = 214

x_{1, 2} = \frac{- ( - 10 ) \pm 2 14}{2 \cdot 1}

Separate the solutions

x_{1} = \frac{- ( - 10 ) + 2 14}{2 \cdot 1}, x_{2} = \frac{- ( - 10 ) - 2 14}{2 \cdot 1}

x = \frac{- ( - 10 ) + 2 14}{2 \cdot 1} : 5 + 14

x = \frac{- ( - 10 ) - 2 14}{2 \cdot 1} : 5 - 14

The solutions to the quadratic equation are:

x = 5 + 14, x = 5 - 14

2 x - 3 < 0

12 x^{4} + 10 x^{3} - 8 x^{2}

\frac{x x ^{8} y ^{- 3}}{y ^{7}}

(x + 2)^{2} - (2 y + 1)^{2}

a^{2} + 6 ab - 7 b^{2}

What are the solutions to the equation x^2-10x+11=0 ?
The solutions to the equation x^2-10x+11=0 are x=5+sqrt(14),x=5-sqrt(14)
Find the zeros of x^2-10x+11=0
The zeros of x^2-10x+11=0 are x=5+sqrt(14),x=5-sqrt(14)