please help
2007-12-20 01:07:06 · 4 answers · asked by Purple_babi 1 in Science & Mathematics ➔ Mathematics
4w^2 - 13w +10 = 0
(4w - 5)(w - 2) = 0
w = 5/4 and w = 2.
2007-12-20 01:09:25 · answer #1 · answered by RYAN 3 · 0⤊ 1⤋
4w² - `13w + 10 = 0
The middle term is - 13w
Find the sum of the middle term
Multiply the first term 4 times the last term 10 equals 40 and factor
Factors of 40
1 x 40
2 x 20
4 x 10
5 x 8. . .â,. .use these factors
- 8w and - 5w satisfy the sum of the middle term
insert - 8w and - 5w into the equation
4w² - 13w + 10 = 0
4w² - 8w - 5w + 10 = 0
Group factor
(4w² - 8w) - (5w + 10) = 0
4w(w - 2) - 5(w - 2) = 0
(4w - 5)(w - 2) = 0
- - - - - - - - -
Roots
4w - 5 = 0
Transpose 5
4w - 5 + 5 = 0 + 5
4w = 5
Divide both sides of the equation by 4
4w / 4 = 5 / 4
w = 5/4
- - - - - - - -
Roots
w - 2 = 0
Transpose 2
w - 2 + 2 = 0 + 2
w = 2
- - - - - - - -s-
2007-12-20 09:25:12 · answer #2 · answered by SAMUEL D 7 · 0⤊ 0⤋
4w²-13w+10
(4w-5)(w-2)
if 4w²-13w+10 =0
Then
w= 2 and 5/4
2007-12-20 09:10:49 · answer #3 · answered by Murtaza 6 · 0⤊ 0⤋
x1 = 13/2 + root (169-160)/2 = 13/2+3/2 = 8
x2 = 13/2 - root (169-160)/2 = 13/2 -3/2 = 5
2007-12-20 09:12:44 · answer #4 · answered by Nur S 4 · 0⤊ 1⤋