Question

Find roots :- 5x-6/4x-1=2x+3/3x+2

Answer 1

Answer:

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Step-by-step explanation:

answer is 3 and -3/7

Cross multipy

open brackets

middle term splitting

Answer 2

Answer:

$roots \: of \: \frac{5x - 6}{4x - 1 } = \frac{2x + 3}{3x + 2 } = - 1 and \: \frac{9}{7}$

• Explanation
• $by \: cross \: multiplaction \: we \: get \: (3x + 2)(5x - 6) = (4x - 1)(2x + 3)$
• By multiply from above we get
• $15x {}^{2} - 6x + 5x - 12 = 8x {}^{2} + 3x - 2x - 3$
• $15x {}^{2} - x - 12 = 8x {}^{2} + x - 3$
• On transposing
• $15x {}^{2} - 8x {}^{2} - x - x - 12 + 3 = 0$
• By simplification
• $7x {}^{2} - 2x - 9 = 0$
• To do factorization we write above equation as
• $7x {}^{2} + 7x - 9x - 9$
• By factorize
• $7x(x + 1) - 9(x + 1)$
• $(x + 1)(7x - 9)$
• $x + 1 = 0$
• $x = - 1$
• $7x - 9 = 0$
• $7x = 9$
• $x = \frac{9}{7}$