Answer:
The answer to your question is x² + 5/2x - 3/2 = 0
Step-by-step explanation:
Data
Quadratic equation x² + 2.5x - 1.5 = 0
Process
1.- Convert the decimals into fractions
2.5 = 25/10 = 5/2
1.5 = 15/10 = 3/2
2.- Substitution
x² + 5/2x - 3/2 = 0
3.- Conclusion
I rewrite the equation, now it is expressed in fractions. It could be solve by factoring.
Answer:
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Step-by-step explanation:
ZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZ
Length (L): w + 3 ⇒2(w + 3)
width (w): w ⇒ w - 1
Area (A) = L x w
A = (w + 3)(w)
A = w² + 3w
*******************************************
A + 176 = 2(w + 3)(w - 1)
(w² + 3w) + 176 = 2(w + 3)(w - 1)
w² + 3w + 176 = 2w² + 4w - 6
3w + 176 = w² + 4w - 6
176 = w² + w - 6
0 = w² + w - 182
0 = (w - 13) (w + 14)
0 = w - 13 0 = w + 14
w = 13 w = -14
Since width cannot be negative, disregard -14
w = 13
Length (L): w + 3 = (13) + 3 = 16
Answer: width = 13 in, length = 16 in
