Solve for w. 200=0.1w^2 +2.155w+20

Alex Baird

Alex Baird

Answered question

2022-07-25

Solve for w.
200 = 0.1 w 2 + 2.155 w + 20

Answer & Explanation

Marisa Colon

Marisa Colon

Beginner2022-07-26Added 18 answers

set the equation equal to zero...
0.1 w 2 + 2.155 w 180 = 0
now it is in the form where w is solvable by the quadratic equation...
a x 2 + b x + c = 0
x = b ± b 2 4 a c 2 a
a= 0.1, b = 2.155, c =-180
detineerlf

detineerlf

Beginner2022-07-27Added 1 answers

200 = 0.1 w 2 + 2.155 w + 20
0.1 w 2 + 2.155 w 180 = 0
w 12 = 2.155 ± 2.155 2 4 0.1 180 2 0.1 = 2.155 ± 8.755 0.2
w 1 = 2.155 + 8.755 0.2 = 33
w 2 = 2.155 8.755 0.2 = 54.55

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