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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?
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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