To solve the given equation: \frac{3}{x^{2}-25}=\frac{1}{x+5}+\

lilyta79jd

lilyta79jd

Answered question

2021-11-16

To solve the given equation:
3x225=1x+5+2x5

Answer & Explanation

Alicia Washington

Alicia Washington

Beginner2021-11-17Added 23 answers

Step 1
Solving the above equation using basic arithmetric operations as follows:
3x225=1x+5+2x5
3(x+5)(x5)1x+52x5=0{taking the LCD of fractions and multiplying the numerator by missing factor}
31(x5)2(x+5)(x+5)(x5)=0{simpliffying}
3x+52x10(x+5)(x5)=0
3x2(x+5)(x5)=0{crossmultiplying}
3x2=0, x5, x5
3x+2=0
3x=2
x=23
Hence, the solution of the given equationis x=23

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