What a delightful little problem !
You said that (4 + x) / (9 - x) = -9
Multiply each side by (9 - x) : (4 + x) = -9 (9 - x)
Eliminate parentheses: 4 + x = -81 + 9x
Add 81 to each side: 85 + x = 9x
Subtract 'x' from each side: 85 = 8x
Divide each side by 8 : <em>85/8 = x </em> (or 10.625)
Add -7 to both sides so that the equation becomes -3x^2 + 6x + 2 = 0.
To find the solutions to this equation, we can apply the quadratic formula. This quadratic formula solves equations of the form ax^2 + bx + c = 0
x = [ -b ± √(b^2 - 4ac) ] / (2a)
x = [ -6 ± √((6)^2 - 4(-3)(2)) ] / ( 2(-3) )
x = [-6 ± √(36 - (-24) ) ] / ( -6 )
x = [-6 ± √(60) ] / ( -6)
x = [-6 ± 2*sqrt(15) ] / ( -6 )
x = 1 ± -sqrt(15)/3
The answers are 1 + sqrt(15)/3 and 1 - sqrt(15)/3.
Answer:
40.) the third one
42.)the last one
Step-by-step explanation:
Need more than 5 points for all that wth
