What are the solutions to the equation x^2-20x+83=0 ?

The solutions to the equation x^2-20x+83=0 are x=10+sqrt(17),x=10-sqrt(17)

Find the zeros of x^2-20x+83=0

The zeros of x^2-20x+83=0 are x=10+sqrt(17),x=10-sqrt(17)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

x^{2} - 20 x + 83 = 0

x = 10 + 17, x = 10 - 17

Decimal Notation

x = 14.12310 \dots, x = 5.87689 \dots

Solution steps

x^{2} - 20 x + 83 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 20 ) \pm ( - 20 ) ^{2} - 4 \cdot 1 \cdot 83}{2 \cdot 1}

(- 20)^{2} - 4 \cdot 1 \cdot 83 = 217

x_{1, 2} = \frac{- ( - 20 ) \pm 2 17}{2 \cdot 1}

Separate the solutions

x_{1} = \frac{- ( - 20 ) + 2 17}{2 \cdot 1}, x_{2} = \frac{- ( - 20 ) - 2 17}{2 \cdot 1}

x = \frac{- ( - 20 ) + 2 17}{2 \cdot 1} : 10 + 17

x = \frac{- ( - 20 ) - 2 17}{2 \cdot 1} : 10 - 17

The solutions to the quadratic equation are:

x = 10 + 17, x = 10 - 17

5 x^{2} - 3 x = 1

x^{2} + 4 x - 252 = 0

0 = - (x + 2)^{2} + 4

t, h = v t + \frac{1}{2} g t^{2}

x, 12 x^{2} - 8 x s + s^{2} = 0

What are the solutions to the equation x^2-20x+83=0 ?
The solutions to the equation x^2-20x+83=0 are x=10+sqrt(17),x=10-sqrt(17)
Find the zeros of x^2-20x+83=0
The zeros of x^2-20x+83=0 are x=10+sqrt(17),x=10-sqrt(17)