solve for x x minus 2 upon x minus 4 plus x minus 6 upon x minus 8 equals to 6 2 by 3 which is X is not equal to 48
Answers
Answer:
x = 8.47 , 4.34
Step-by-step explanation:
solve for x x minus 2 upon x minus 4 plus x minus 6 upon x minus 8 equals to 6 2 by 3 which is X is not equal to 48
(x-2)/(x-4) + (x-6)/(x-8) = 20/3
Lets multiply by 3(x-4)(x-8) both side
=> 3(x-2)(x-8) + 3(x-6)(x-4) = 20(x-4)(x-8)
=> 3 (x² - 10x + 16) + 3(x² - 10x + 24) = 20(x² - 12x + 32)
=> 6x² - 60x + 120 = 20x² - 240x + 640
=> -14x² + 180x - 520 = 0
dividing by -2
=> 7x² - 90x + 260 = 0
=> x = {90 ±√(90² - 4*7*260)}/(2*7)
=>x = {90 ± √(8100 - 7280) }/14
=> x = (90 ± √820 )/14
=> x = (90 ± 28.64)/14
x = 118.64/14 , 61.36/14
x = 8.47 , 4.34
Answer:
Step-by-step explanation:
Dear Student ,
Please find below the solution to the asked query :
x−2x−4+x−6x−8=203(x−2) (x−8) + (x−4) (x−6)(x−4) (x−8)=203x2−2x−8x+16+x2−4x−6x+24x2−4x−8x+32=2032x2−20x+40x2−12x+32=2032(x2−10x+20)x2−12x+32=203x2−10x+20x2−12x+32=1033x2−30x+60=10x2−120x+3207x2−90x+260=0x=90±(−90)2−4(7)(260)√2(7)=90±8100−7280√14=90±820√14=90±2205√14=45±205√7 ANS...