Question

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Solving a Rational Equation in the Form of a Propon
Solve and check:
1 x+10
x-2
x+3
From least to greatest, the solutions are x =
DONE
and x =

Answer 1

To solve the given rational equation, cross-multiply to eliminate the fractions, rearrange the equation, and solve for x using factoring or the quadratic formula.

Step-by-step explanation:

To solve the rational equation 1/x+10 = x-2/x+3, we can start by cross-multiplying the fractions to eliminate the denominators:

(x+3)(1) = (x-2)(x+10)

x + 3 = x2 + 8x - 20

Next, we can rearrange the equation and solve for x:

0 = x2 + 7x - 23

Using either factoring or the quadratic formula, we find that the solutions are x = -3 and x = 4. Therefore, from least to greatest, the solutions are -3 and 4.

Learn more about Solving rational equations