23sylvannathompson
Answered

Looking for reliable answers? Westonci.ca is the ultimate Q&A platform where experts share their knowledge on various topics. Get precise and detailed answers to your questions from a knowledgeable community of experts on our Q&A platform. Connect with a community of professionals ready to provide precise solutions to your questions quickly and accurately.

solve the rational equation: 1/x-1 - 1/x+2 = 1/4

Sagot :

sqdancefan

9514 1404 393

Answer:

  x = -0.5 ±√14.25

Step-by-step explanation:

Subtract 1/4 and combine terms.

  [tex]\dfrac{1}{x-1}-\dfrac{1}{x+2}-\dfrac{1}{4}=0\\\\\dfrac{4(x+2)-4(x-1)-(x-1)(x+2)}{4(x-1)(x+2)}=0\\\\\dfrac{-x^2-x+14}{4(x-1)(x+2)}=0\\\\x^2 +x -14=0\qquad\text{no factors cancel, numerator must be zero}\\\\(x+0.5)^2-14.25=0\qquad\text{complete the square}\\\\x=-0.5\pm\sqrt{14.25}\qquad\text{add 14.25, square root, subtract 0.5}\\\\x\approx\{-4.2749, 3.2749\}[/tex]

Answer:

X = -4.27 , X = 3.27

Step-by-step explanation:

A P E X

Thank you for visiting. Our goal is to provide the most accurate answers for all your informational needs. Come back soon. Thanks for using our service. We're always here to provide accurate and up-to-date answers to all your queries. We're dedicated to helping you find the answers you need at Westonci.ca. Don't hesitate to return for more.