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Find the solutions to the equations 20+brainliest
Solve the equation.
x / (x + 4) = 20 / (x² + 3x - 4) + 2 / ( x - 1)
Drag the choice or choices into the box to correctly state the solution to the equation.
Solution to
x / (x + 4) = 20 / (x² + 3x - 4) + 2 / ( x - 1)
x = -4
x = -1
x = 1
x = 3
x = 7

Find the solutions to the equations 20brainliest Solve the equation x x 4 20 x 3x 4 2 x 1 Drag the choice or choices into the box to correctly state the solutio class=


Answer :

MrRoyal

The solutions to the equation given as x/(x + 4) = 20/(x² + 3x - 4) + 2/(x - 1) are x = 7 and x = -4

How to determine the solution to the equation?

From the question, the equation is given as

x/(x + 4) = 20/(x² + 3x - 4) + 2/(x - 1)

Factorize the quadratic expression (x² + 3x - 4)

So, we have

x/(x + 4) = 20/(x + 4)(x - 1) + 2/(x - 1)

Multiply through the equation by (x + 4)(x - 1)

So, we have

x(x - 1) = 20 + 2(x + 4)

Open the brackets

x² - x = 20 + 2x + 8

Evaluate the like terms

x² - 3x - 28 = 0

Expand

x² + 4x - 7x - 28 = 0

Factorize

x(x + 4) -7(x + 4) = 0

This gives

(x - 7)(x + 4) = 0

Solve for x

x = 7 and x = -4

Hence, the solutions are x = 7 and x = -4

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