Answer:
x = sqrt(2609)/38 - 43/38 or x = -43/38 - sqrt(2609)/38
Explanation:
Solve for x:
-1.9 x^2 - 4.3 x + 1 = 0
-1.9 x^2 - 4.3 x + 1 = -(19 x^2)/10 - (43 x)/10 + 1:
-(19 x^2)/10 - (43 x)/10 + 1 = 0
Multiply both sides by -10/19:
x^2 + (43 x)/19 - 10/19 = 0
Add 10/19 to both sides:
x^2 + (43 x)/19 = 10/19
Add 1849/1444 to both sides:
x^2 + (43 x)/19 + 1849/1444 = 2609/1444
Write the left hand side as a square:
(x + 43/38)^2 = 2609/1444
Take the square root of both sides:
x + 43/38 = sqrt(2609)/38 or x + 43/38 = -sqrt(2609)/38
Subtract 43/38 from both sides:
x = sqrt(2609)/38 - 43/38 or x + 43/38 = -sqrt(2609)/38
Subtract 43/38 from both sides:
Answer: x = sqrt(2609)/38 - 43/38 or x = -43/38 - sqrt(2609)/38