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प्रश्न
Solve the equation `4/x-3=5/(2x+3); xne0,-3/2` for x .
उत्तर
Given equation: `4/x-3=5/(2x+3); xne0,-3/2`
`4/x-3=5/(2x+3)`
`=>(4-3x)/x=5/(2x+3)`
⇒(4−3x)(2x+3)=5x
⇒−6x2+8x−9x+12=5x
⇒6x2+6x−12=0
⇒x2+x−2=0
⇒x2+2x−x−2=0
⇒(x+2)(x−1)=0
⇒x+2=0 or x−1=0
⇒x=−2 or x=1
Thus, the solutions of the given equation is − 2 or 1
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