What is x+y=10,xy=40 ?

The solution to x+y=10,xy=40 is

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

x+y=10,xy=40

x + y = 10, x y = 40

(x = 5 + 15 i, x = 5 - 15 i, y = 5 - 15 i y = 5 + 15 i)

Solution steps

[x + y = 10 x y = 40]

Isolate

x

for

x + y = 10 : x = 10 - y

Plug the solutions

x = 10 - y

into

x y = 40

For

x y = 40

, subsitute

x

with

10 - y : y = 5 - 15 i, y = 5 + 15 i

Plug the solutions

y = 5 - 15 i, y = 5 + 15 i

into

x + y = 10

For

x + y = 10

, subsitute

y

with

5 - 15 i : x = 5 + 15 i

For

x + y = 10

, subsitute

y

with

5 + 15 i : x = 5 - 15 i

Verify solutions by plugging them into the original equations

Therefore, the final solutions for

x + y = 10, x y = 40

are

(x = 5 + 15 i, x = 5 - 15 i, y = 5 - 15 i y = 5 + 15 i)

a + b = 30, a - b = 20 \frac{a}{b}

f (x) = 2, x^{2} - 7 x + 3 = 12

x + y - z = 5, - x + y + z = 1

x + y = 7, x + z = 4 x + y + z

x + y = 10, x y = 16