Question

Solve the Question:​

Answer 1

Answer:

answer of your questions

Answer 2

$Answer:-</p><p></p><p>\begin{gathered}\frac{ {x }^{2} - (x + 2)(x + 3) }{7x + 1} = \frac{2}{3} \\ \\ = > \frac{ {x}^{2} - ( {x}^{2} + 5x + 6) }{7x + 1} = \frac{2}{3} \\ \\ = > \frac{ {x }^{2} - {x}^{2} - 5x - 6 }{7x + 1} = \frac{2}{3} \\ \\ = > \frac{ - 5x - 6}{7x + 1} = \frac{2}{3} \\ \\ = > 3 \times (- 5x - 6) = 2 \times (7x + 1) \\ \\ = > - 15x - 18 = 14x + 2 \\ \\ = > 29x = - 20 \\ \\ = > x = \frac{ - 20}{29}\end{gathered}7x+1x2−(x+2)(x+3)=32=>7x+1x2−(x2+5x+6)=32 \\ =>7x+1x2−x2−5x−6=32=>7x+1−5x−6=32=>3×(−5x−6)=2×(7x+1)=>−15x−18=14x+2=>29x=−20=>x=29−20</p><p></p><p>Now verification</p><p></p><p>Putting the value of X</p><p></p><p>\begin{gathered}= > \frac{ { \frac{ - 20}{29} }^{2} - { \frac{ - 20}{29} }^{2} - 5 \times \frac{ - 20}{29} - 6 }{7 \times \frac{ - 20}{29} + 1} = \frac{2}{3} \\ \\ = > \frac{ \frac{ 100}{29} - 6 }{ \frac{ - 140}{29} + 1} = \frac{2}{3} \\ \\ = > \frac{ \frac{100 - 174}{29} }{ \frac{ - 140 + 29}{29} } = \frac{2}{3} \\ \\ = > \frac{ \frac{ - 74}{29} }{ \frac{ - 111}{29} } = \frac{2}{3} \\ \\ = > \frac{ - 74}{ - 111} = \frac{2}{3} \\ \\ = > \frac{74}{111} = \frac{2}{3} \\ \\ = > \frac{37 \times 2}{37 \times 3} = \frac{2}{3} \\ \\ = > \frac{2}{3} = \frac{2}{3} \\ \\\end{gathered} =>7×29−20+129−202−29−202−5×29−20−6=32=>29−140+129100−6=32=>29−140+2929100−174=32=>29−11129−74=32=>−111−74=32=>11174=32=>37×337×2=32=>32=32</p><p></p><p>Hence LHS = RHS verified$