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SAT Math: Solving a Quadratic Equation to Calculate Pool Deck Width 18 Views
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Description:
The swimming pool in the diagram above is being renovated to include a wooden deck of equal width, x meters, around it. After installing the deck, the combined area of the pool and the deck is 152.25 m2. What is the width, x, of the deck in meters?
The swimming pool in the diagram above is being renovated to include a wooden deck of equal width, x meters, around it. After installing the deck, the combined area of the pool and the deck is 152.25 m2. What is the width, x, of the deck in meters?
Transcript
- 00:00
Yeah Eighty six and change their equal zero all right
- 02:03
seat Now that's quadratic Unfortunately this equation seems a bit
- 02:07
too messy to factor so we can solve for acts
- 02:09
by substituting the coefficients of our equation into the quadratic
- 02:13
formula And here's that formula We get negative b plus
Full Transcript
- 02:16
money and square to b squared minus four a c
- 02:18
over two a and we just kind of plug in
- 02:20
the numbers and we get this nigga forty plus or
- 02:22
minus forty squared minus four times four and then the
- 02:25
fifty six and change there and then to for and
- 02:28
then reduces down about forty and then sixteen hundred Odd
- 02:32
There we go Negative forty plus or minus square with
- 02:34
twenty five hundred Well we know that's fifty produced that
- 02:37
right away You get negative forty plus or minus fifty
- 02:39
and that gets us over eight there So access either
- 02:43
ten eighths or negative ninety eight That's kind of weird
- 02:47
While the quadratic
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