Question

50 P+ (coroana)
3Rezolvati urmatoarele ecuatii
a)3(2√2-5x)-2(x-3√2)=2(3x√2-4)-8x-10
b)(√3+1)²x-(3x-1)√3=5x-12+√3(5X-√12)
REZOLVARI COMPLETE VA ROG !!!

Answer 1

a) 3( 2√2-5x ) -2( x-3√2 ) = 2(3x√2 - 4 ) - 8x -10 =
= 6√2 - 15x - 2x + 6√2 = 2( 3√2x - 4 ) - 8x - 10 =
= 12√2 - 17x = 6√2x - 8 - 8x - 10 =
= 12√2 - 17x = 6√2x - 18x - 8x =
= - 17x - 6√2x + 8x = - 18 - 12√2 =
= - 9x - 6√2x = - 18 - 12√2 =
= ( - 9 - 6√2 )x = - 18 - 12√2 
x = - 18 - 12√2 / - 9 - 6√2
x = - 6( 3 + 2√2 ) / - 3 ( 3+ 2√2 ) 
x = - 18/ - 6
x = 2 


b)  ( √3 + 1 )² x - ( 3x - 1 )√3 = 5x - 12 + √3( 5x - √12 ) =
= ( 3 + 2√3 + 1 )x - ( 3√3x - √3 ) = 5x - 12 + √3( 5x - 2√3 ) =
= ( 4 + 2√3 )x - 3√3x + √3 = 5x - 12 + 5√3x - 6 =
= 4x + 2√3x - 3√3x + √3 = 5x - 18 + 5√3x =
= 4x - √3x + √3 = 5x - 18 + 5√3x =
= 4x - √4x - 5x = - 18 - √3 =
= - x - 6√3x = - 18 - √3 =
= ( - 1 - 6√3 )x = - 18 - √3
x = - 18 - √3 / - 1 - 6√3
x = ( - 18 - √3 )( - 1 + 6√3 ) / - 107
x = 18 - 108√3 + √3 - 18 / - 107
x = - 107√3 / - 107
x = √3