Question

solve

x-3/2-3x+5/6=-5x-7/8
​

Answer 1

Answer:-3/2+5/6+7/8=-5x+3x-x

-36/24+20/24+21/24=-3x

37/24=-3x

37/24×-3=x

12.33/24=x

Step-by-step explanation:

Answer 2

Answer:

x = [129±√14841]/90

Explanation:

(x-3)/(2-3x)+5/6 = (5x-7)/8

=> [6(x-3)+5(2-3x)]/[(2-3x)6]=(5x-7)/8

=> (6x-18+10-15x)/(2-3x)=[6(5x-7)/8]

=> (-9x-8)4=3(5x-7)(2-3x)

=> -36x-32=3(10x-15x²-14+21x)

=> -36x-32=3(31x-15x²-14)

=> -36x-32=93x-45x²-42

=> 45x²-36x-32-93x+42=0

=> 45x² - 129x + 10=0

Compare this with ax²+bx+c=0,

we get

a = 45 , b = -129, c = 10

Discreminant (D) = b²-4ac

= (-129)²-4×45×10

= 16641 - 1800

= 14841

By quadratic formula:

x = [-b±√D]/2a

= [-(-129)±√14841]/(2×45)

= [129±√14841]/90

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