Question

Solve for x x^2 b+t=x^2 e

Answer 1

x^2b + t = x^2e

x^2e - x^2b = t

x^2(e - b) = t

x^2 = t /(e -b)

x = √[t /(e -b)] or x = - √[t /(e -b)]

Answer 2

Answer:

$x = \sqrt{\frac{t}{(e - b)} }$, $x = - \sqrt{\frac{t}{(e - b} }$

Step-by-step explanation:

$x^{2} b + t = x^{2} e$

To solve this equation for x, arrange the like terms together by placing the two terms with variable $x^{2}$ at one side of the equation and the remaining terms at the other side of the equation:

$x^{2} e - x^{2} b = t$

Now take the common terms out and write it as:

$x^{2} (e - b) = t$

$x^{2} = \frac{t}{e - b}$

Now take square root on both sides:

$\sqrt{x^{2}} = \sqrt{\frac{t}{e - b}}$

$x = \sqrt{\frac{t}{(e - b)}}$ , $x = - \sqrt{\frac{t}{(e- b)}}$