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

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Popular >

y=x^2,y=x+2

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

(x = 2, x = - 1, y = 4 y = 1)

Solution steps

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

Subtract the equations

y = x^{2}

y - y = x^{2} - (x + 2)

Simplify

0 = x^{2} - x - 2

Solve

0 = x^{2} - x - 2 : x = 2, x = - 1

Plug the solutions

x = 2, x = - 1

into

y = x^{2}

For

y = x^{2}

, subsitute

x

with

2 : y = 4

For

y = x^{2}

, subsitute

x

with

- 1 : y = 1

Verify solutions by plugging them into the original equations

Therefore, the final solutions for

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

are

(x = 2, x = - 1, y = 4 y = 1)

3 x - y = 3, - 3 x + y = 3

1 y = x^{2} - 5 x + 7, y = 2 x + 1

x^{2} + y = 37, 3 x + 4 y = 22

8 x + 9 y = - 5, - 8 x - 9 y = 5

\frac{1}{y} - \frac{1}{x} = \frac{1}{3}, x - 2 y = 2