SOLUTION: Please help me solve the following problem: w(w+4)=54 I know the answer will have to be a decimal number, but not sure how to find it. Thank YOu

Algebra ->  Equations -> SOLUTION: Please help me solve the following problem: w(w+4)=54 I know the answer will have to be a decimal number, but not sure how to find it. Thank YOu      Log On


   

Question 1017047: Please help me solve the following problem:
w(w+4)=54
I know the answer will have to be a decimal number, but not sure how to find it.
Thank YOu
Found 2 solutions by Boreal, macston:
Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
w^2+4w=54
w^2+4w-54=0
quadratic formula
w=(1/2)(-4 +/-sqrt (16+216); sqrt 232 is 15.23
w=(1/2)(-4+/-15.23)
w=11.23/2=5.61
w=-19.23/2=-9.61
graph%28300%2C200%2C-10%2C10%2C-20%2C60%2Cx%5E2%2B4x-54%29

Answer by macston(5194) About Me  (Show Source):
You can put this solution on YOUR website!
.
w%28w%2B4%29=54
w%5E2%2B4w=54
w%5E2%2B4w-54=0
Equation of the form:
.
aw%5E2%2Bbw%2Bc=0
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1w%5E2%2B4w-54=0
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a=1; b=4; c=-54
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Quadratic formula:
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w=%28-b%2B-sqrt%28b%5E2-4ac%29%29%2F2a
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w=%28-4%2B-sqrt%284%5E2-4%281%29%28-54%29%29%29%2F%28%282%29%281%29%29
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w=%28-4%2B-sqrt%28232%29%29%2F2
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w=%28-4%2B15.23%29%2F2 OR w=%28-4-15.23%29%2F2
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w=11.23%2F2 OR W=-19.23%2F2
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w=5.62 OR w=-9.62
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