Use completing the square to find the value to add that makes x^2 - 12x a perfect square trinomial. Then write the expression as
1 answer:
Answer:
Step-by-step explanation:
If you want to make
into a perfect square binomial, take half the linear term, square it, then add it to both sides. Our linear term is 12. Half of 12 is 6, and 6 squared is 36.
The value that makes this a perfect square binomial is 36.
Writing the expression as a square of the binomial is:
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The length and width of the rectangle are 18 in and 1 in, respectively.
<h3>Quadrilaterals</h3>There are different types of quadrilaterals, for example, square, rectangle, rhombus, trapezoid, and parallelogram. Each type is defined accordingly to its length of sides and angles. For example, in a rectangle, the opposite sides are equal and parallel and their interior angles are equal to 90°.
The area of a rectangle can be found for the formula : b*h, where b = base and h =height.
For this question, the length exceeds its width by 17 inches - L=W+17. Here, the length is the base and the width is the height. Thus, from the value of area given, you can find the values of the length and width of the rectangle.
A=b*h
18=(W+17)*W
18=W²+17W
W²+17W-18=0
Solving this quadratic equation, you have:
w1=1 and w2= -18
For dimensions, only positive numbers must be used. Then, the width is equal to 1 inch.
As, the area (l*w) is 18 in², see.
18=l*w
18=l*1
l=18 in
Read more about the area of rectangle here:
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