What are the solutions to the equation solvefor x,a=100x^2-y^2 ?

The solutions to the equation solvefor x,a=100x^2-y^2 are x=(sqrt(a+y^2))/(10),x=-(sqrt(a+y^2))/(10)

Find the zeros of solvefor x,a=100x^2-y^2

The zeros of solvefor x,a=100x^2-y^2 are x=(sqrt(a+y^2))/(10),x=-(sqrt(a+y^2))/(10)

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solve for

x, a = 100 x^{2} - y^{2}

x = \frac{a + y ^{2}}{10}, x = - \frac{a + y ^{2}}{10}

Solution steps

a = 100 x^{2} - y^{2}

Switch sides

100 x^{2} - y^{2} = a

Move

y^{2}

to the right side

100 x^{2} = a + y^{2}

Divide both sides by

100

x^{2} = \frac{a + y ^{2}}{100}

For

x^{2} = f (a)

the solutions are

x = f (a), - f (a)

x = \frac{a + y ^{2}}{100}, x = - \frac{a + y ^{2}}{100}

Simplify

\frac{a + y ^{2}}{100} : \frac{a + y ^{2}}{10}

Simplify

- \frac{a + y ^{2}}{100} : - \frac{a + y ^{2}}{10}

x = \frac{a + y ^{2}}{10}, x = - \frac{a + y ^{2}}{10}

x, x^{2} + 4 y^{2} - 2 x + 8 y + 5 = 0

x, z^{2} (p^{2} + q^{2}) = x^{2} + y^{2}

5 x^{2} + 4 x + (k + 1) = 0

3 \cdot x^{2} + 10 x - 83 = 0

a, m^{2} + a^{2} = 0

What are the solutions to the equation solvefor x,a=100x^2-y^2 ?
The solutions to the equation solvefor x,a=100x^2-y^2 are x=(sqrt(a+y^2))/(10),x=-(sqrt(a+y^2))/(10)
Find the zeros of solvefor x,a=100x^2-y^2
The zeros of solvefor x,a=100x^2-y^2 are x=(sqrt(a+y^2))/(10),x=-(sqrt(a+y^2))/(10)