Solve b/x^2 - a = p

Evaluate

\frac{b}{x ^{2}} - a = p

Move the expression to the right-hand side and change its sign

\frac{b}{x ^{2}} = p + a

Multiply both sides of the equation by LCD

\frac{b}{x ^{2}} \times x^{2} = (p + a) x^{2}

Simplify the equation

b = (p + a) x^{2}

Swap the sides of the equation

(p + a) x^{2} = b

Divide both sides

\frac{( p + a ) x ^{2}}{p + a} = \frac{b}{p + a}

Divide the numbers

x^{2} = \frac{b}{p + a}

Take the root of both sides of the equation and remember to use both positive and negative roots

x = \pm \frac{b}{p + a}

Simplify the expression

More Steps

x = \pm \frac{b p + ab}{∣ p + a ∣}

Solution

x = \frac{b p + ab}{∣ p + a ∣} x = - \frac{b p + ab}{∣ p + a ∣}

Solve the equation