What is area x+1=y^2,y^2+2x=10 ?

The answer to area x+1=y^2,y^2+2x=10 is No Solution

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area x+1=y^2,y^2+2x=10

area

x + 1 = y^{2}, y^{2} + 2 x = 10

No Solution

Solution steps

Isolate

y

for

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

Isolate

y

for

y^{2} + 2 x = 10 : y = 10 - 2 x, y = - 10 - 2 x

f_{1} (x) = x + 1

f_{2} (x) = - x + 1

To find the intersection points solve

f_{i} (x) = f_{j} (x)

x + 1 = - x + 1 : x = - 1

x + 1 = 10 - 2 x : x = 3

x + 1 = - 10 - 2 x :

No Solution for

x \in R

- x + 1 = 10 - 2 x :

No Solution for

x \in R

- x + 1 = - 10 - 2 x : x = 3

10 - 2 x = - 10 - 2 x : x = 5

Curves not bounded

= No Solution

What is area x+1=y^2,y^2+2x=10 ?
The answer to area x+1=y^2,y^2+2x=10 is No Solution