What are the solutions to the equation x^2-100x+1000=0 ?

The solutions to the equation x^2-100x+1000=0 are x=10(5+sqrt(15)),x=10(5-sqrt(15))

Find the zeros of x^2-100x+1000=0

The zeros of x^2-100x+1000=0 are x=10(5+sqrt(15)),x=10(5-sqrt(15))

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

x^{2} - 100 x + 1000 = 0

x = 10 (5 + 15), x = 10 (5 - 15)

Decimal Notation

x = 88.72983 \dots, x = 11.27016 \dots

Solution steps

x^{2} - 100 x + 1000 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 100 ) \pm ( - 100 ) ^{2} - 4 \cdot 1 \cdot 1000}{2 \cdot 1}

(- 100)^{2} - 4 \cdot 1 \cdot 1000 = 2015

x_{1, 2} = \frac{- ( - 100 ) \pm 20 15}{2 \cdot 1}

Separate the solutions

x_{1} = \frac{- ( - 100 ) + 20 15}{2 \cdot 1}, x_{2} = \frac{- ( - 100 ) - 20 15}{2 \cdot 1}

x = \frac{- ( - 100 ) + 20 15}{2 \cdot 1} : 10 (5 + 15)

x = \frac{- ( - 100 ) - 20 15}{2 \cdot 1} : 10 (5 - 15)

The solutions to the quadratic equation are:

x = 10 (5 + 15), x = 10 (5 - 15)

x, x^{2} + 2 x + y^{4} + 4 y = 5

\frac{2}{3} x^{2} - 8 = 16

3 x (2 x - 1) = 0

x (x + 6) = 7

x^{2} + 21 = - 12 x

What are the solutions to the equation x^2-100x+1000=0 ?
The solutions to the equation x^2-100x+1000=0 are x=10(5+sqrt(15)),x=10(5-sqrt(15))
Find the zeros of x^2-100x+1000=0
The zeros of x^2-100x+1000=0 are x=10(5+sqrt(15)),x=10(5-sqrt(15))