Solve (t-5)*x^210=41790

Evaluate

(t - 5) x^{2} \times 10 = 41790

Multiply the terms

More Steps

10 x^{2} (t - 5) = 41790

Rewrite the expression

(10 t - 50) x^{2} = 41790

Divide both sides

\frac{( 10 t - 50 ) x ^{2}}{10 t - 50} = \frac{41790}{10 t - 50}

Divide the numbers

x^{2} = \frac{41790}{10 t - 50}

Divide the numbers

More Steps

x^{2} = \frac{4179}{t - 5}

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

x = \pm \frac{4179}{t - 5}

Simplify the expression

More Steps

x = \pm \frac{4179 t - 20895}{∣ t - 5 ∣}

Separate the equation into 2 possible cases

x = \frac{4179 t - 20895}{∣ t - 5 ∣} x = - \frac{4179 t - 20895}{∣ t - 5 ∣}

Calculate

{t \neq = 5 x = - \frac{4179 t - 20895}{∣ t - 5 ∣} {t \neq = 5 x = \frac{4179 t - 20895}{∣ t - 5 ∣}

Solution

t \neq = 5, x = - \frac{4179 t - 20895}{∣ t - 5 ∣} t \neq = 5, x = \frac{4179 t - 20895}{∣ t - 5 ∣}

Solve the equation