Question

5x-6/4x_1= 2x+3/3x+2 by complete method

Answer 1

Answer:

rootsof

4x−1

5x−6

=

3x+2

2x+3

=−1and

7

9

Explanation

by \: cross \: multiplaction \: we \: get \: (3x + 2)(5x - 6) = (4x - 1)(2x + 3)bycrossmultiplactionweget(3x+2)(5x−6)=(4x−1)(2x+3)

By multiply from above we get

15x {}^{2} - 6x + 5x - 12 = 8x {}^{2} + 3x - 2x - 315x

2

−6x+5x−12=8x

2

+3x−2x−3

15x {}^{2} - x - 12 = 8x {}^{2} + x - 315x

2

−x−12=8x

2

+x−3

On transposing

15x {}^{2} - 8x {}^{2} - x - x - 12 + 3 = 015x

2

−8x

2

−x−x−12+3=0

By simplification

7x {}^{2} - 2x - 9 = 07x

2

−2x−9=0

To do factorization we write above equation as

7x {}^{2} + 7x - 9x - 97x

2

+7x−9x−9

By factorize

7x(x + 1) - 9(x + 1)7x(x+1)−9(x+1)

(x + 1)(7x - 9)(x+1)(7x−9)

x + 1 = 0x+1=0

x = - 1x=−1

7x - 9 = 07x−9=0

7x = 97x=9

x = \frac{9}{7}x=

7

9

Answer 2

Step-by-step explanation:

i think this answer is correct i am not sure but i think