What is x^2=23x+y,y^2=23x+y ?

The solution to x^2=23x+y,y^2=23x+y is

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

x^2=23x+y,y^2=23x+y

Solution

x^{2} = 23 x + y, y^{2} = 23 x + y

Solution

x = 22, x = 24, x = 0, y = - 22 y = 24 y = 0

Solution steps

[x^{2} = 23 x + y y^{2} = 23 x + y]

Isolate

x

for

x^{2} = 23 x + y : x = \frac{23 + 529 + 4 y}{2}, x = \frac{23 - 529 + 4 y}{2}

Plug the solutions

x = \frac{23 + 529 + 4 y}{2}, x = \frac{23 - 529 + 4 y}{2}

into

y^{2} = 23 x + y

For

y^{2} = 23 x + y

, subsitute

x

with

\frac{23 + 529 + 4 y}{2} : y = - 22, y = 24

For

y^{2} = 23 x + y

, subsitute

x

with

\frac{23 - 529 + 4 y}{2} : y = 0

Plug the solutions

y = - 22, y = 24, y = 0

into

x^{2} = 23 x + y

For

x^{2} = 23 x + y

, subsitute

y

with

- 22 : x = 22, x = 1

For

x^{2} = 23 x + y

, subsitute

y

with

24 : x = 24, x = - 1

For

x^{2} = 23 x + y

, subsitute

y

with

0 : x = 23, x = 0

Verify solutions by plugging them into the original equations

Therefore, the final solutions for

x^{2} = 23 x + y, y^{2} = 23 x + y

are

x = 22, x = 24, x = 0, y = - 22 y = 24 y = 0

Popular Examples

x^2+(y-1)2=13,2x+3y=3

x^{2} + (y - 1) 2 = 13, 2 x + 3 y = 3

x+y=1,x^2-2x+3y=-1

x + y = 1, x^{2} - 2 x + 3 y = - 1

x+2y=1,2x^2+2y=42

x + 2 y = 1, 2 x^{2} + 2 y = 42

x+2y=2,x+2y=6

x + 2 y = 2, x + 2 y = 6

8a=4,b=3c

8 a = 4, b = 3 c

Frequently Asked Questions (FAQ)

What is x^2=23x+y,y^2=23x+y ?
The solution to x^2=23x+y,y^2=23x+y is