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We are asked to solve for the width "x" in the given problem. To visualize the problem, see attached drawing.
We have the area of the swimming pool such as:
Area SP = l x w
Area SP = 10 * 16
Area SP = 160 feet2
Area of the swimming pool plus the sidewalk with uniform width:
Area SP + SW = (10 + x) * (16 + x)
160 + 155 = 160 + 10x + 16x + x2
160 -160 + 155 = 26x + x2
155 = 26 x + x2
x2 + 26x -155= 0
Solving for x, we need to use quadratic formula and the answer is 5 feet.
The value of x is
<span>
5 feet. </span>
Answer:
and
Step-by-step explanation:
Think about it.
What two numbers multiply to -15 and add up to 2?
The answers are 5 and -3.
So plug that into the factored form of a parabola.
To find the x-intercepts, plug in 0 for .
Since we are multiplying, at least one of the terms has to equal 0.
So the x-intercepts are and .
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