Problem

1. Solve example 2 of the nitional'equation
by following the given steps.
$xan71$ I Example 2
Rational Equation $\dfrac {x-3} {x^{2-25}}+\dfrac {1} {x+5}=\dfrac {1} {\left(x-5\right)}$ $\dfrac {2} {x-}$ $\dfrac {1} {-1}=-$ $2$
1. Find the Lea'st $1CD$
Comnon Denominator $\left(x+5\right)\left(x-5\right)$
(LCD).
2. Multiply both sides of $\left(x+5\right)\left(x-5\right)|\dfrac {x-1} {x2-26}+\dfrac {1} {x45}=$
the cquation tby its the
$CD$ $-1$
3. Apply the Distribulive $\left(x-3\right)+1\left(x-5\right)=16x+5\right)$
Property and then $x-3+x-5=x+5$
simplify. simplify:
$2x-0-x-5$ $2x-x=y-5$
$x=13$
4. Find all the possible $x=13$
1zthues of x.
5. Check euch value by
substituting into original
cruation and rejeet any
extruncous $500113$
$3^{°-5}$ $-0$
1

10th-13th grade

Algebra

Search count: 112

Solution

Qanda teacher - mamta

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