What are the solutions to the equation x^2+5=5x ?

The solutions to the equation x^2+5=5x are x=(5+sqrt(5))/2 ,x=(5-sqrt(5))/2

Find the zeros of x^2+5=5x

The zeros of x^2+5=5x are x=(5+sqrt(5))/2 ,x=(5-sqrt(5))/2

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

x^{2} + 5 = 5 x

x = \frac{5 + 5}{2}, x = \frac{5 - 5}{2}

Decimal Notation

x = 3.61803 \dots, x = 1.38196 \dots

Solution steps

x^{2} + 5 = 5 x

Move

5 x

to the left side

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

Write in the standard form

a x^{2} + b x + c = 0

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

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 5 ) \pm ( - 5 ) ^{2} - 4 \cdot 1 \cdot 5}{2 \cdot 1}

(- 5)^{2} - 4 \cdot 1 \cdot 5 = 5

x_{1, 2} = \frac{- ( - 5 ) \pm 5}{2 \cdot 1}

Separate the solutions

x_{1} = \frac{- ( - 5 ) + 5}{2 \cdot 1}, x_{2} = \frac{- ( - 5 ) - 5}{2 \cdot 1}

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

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

The solutions to the quadratic equation are:

x = \frac{5 + 5}{2}, x = \frac{5 - 5}{2}

a^{2} = 12

3 x^{2} - 14 x + 7 = 0

x, (x - 3)^{2} + 4 y - 4 x y = 0

5 x^{2} + 12 x + 6 = 0

x^{2} - 6 x + 1 = 0

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