What are the solutions to the equation x^2-1600x+3400=0 ?

The solutions to the equation x^2-1600x+3400=0 are x=10(80+sqrt(6366)),x=10(80-sqrt(6366))

Find the zeros of x^2-1600x+3400=0

The zeros of x^2-1600x+3400=0 are x=10(80+sqrt(6366)),x=10(80-sqrt(6366))

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

x^{2} - 1600 x + 3400 = 0

x = 10 (80 + 6366), x = 10 (80 - 6366)

Decimal Notation

x = 1597.87217 \dots, x = 2.12782 \dots

Solution steps

x^{2} - 1600 x + 3400 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 1600 ) \pm ( - 1600 ) ^{2} - 4 \cdot 1 \cdot 3400}{2 \cdot 1}

(- 1600)^{2} - 4 \cdot 1 \cdot 3400 = 206366

x_{1, 2} = \frac{- ( - 1600 ) \pm 20 6366}{2 \cdot 1}

Separate the solutions

x_{1} = \frac{- ( - 1600 ) + 20 6366}{2 \cdot 1}, x_{2} = \frac{- ( - 1600 ) - 20 6366}{2 \cdot 1}

x = \frac{- ( - 1600 ) + 20 6366}{2 \cdot 1} : 10 (80 + 6366)

x = \frac{- ( - 1600 ) - 20 6366}{2 \cdot 1} : 10 (80 - 6366)

The solutions to the quadratic equation are:

x = 10 (80 + 6366), x = 10 (80 - 6366)

3 x^{2} = - 5 x - 2

x^{2} = 5^{2}

- x^{2} - 5 x + 50 = 0

x^{2} = 600

5 = s^{2} - 5 s

What are the solutions to the equation x^2-1600x+3400=0 ?
The solutions to the equation x^2-1600x+3400=0 are x=10(80+sqrt(6366)),x=10(80-sqrt(6366))
Find the zeros of x^2-1600x+3400=0
The zeros of x^2-1600x+3400=0 are x=10(80+sqrt(6366)),x=10(80-sqrt(6366))