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Step2247 [10]
3 years ago
6

What is the discriminant in the quadratic equation x2 + 11x + 121 = x + 96

Mathematics
1 answer:
Pani-rosa [81]3 years ago
5 0
Discriminant is the value b^2 -4*a*c once the quadratic is in standard form
x^2 + 11x + 121 = x + 96
subtract x from both sides
x^2 + 10x + 121 = 96
subtract 96 from both sides
x^2 + 10x + 25 = 0
10^2 - 4 * 1 * 25
100 - 100 = 0
Discriminant is 0
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The length of the rectangle is 20 inches, and the width of the rectangle is 4 inches if the table runner has an area of 80 square inches. The length and width of the table runner are whole numbers. The length is 5 times greater than the width.

<h3>What is the area of the rectangle?</h3>

It is defined as the space occupied by the rectangle which is planner 2-dimensional geometry.

The formula for finding the area of a rectangle is given by:

Area of rectangle = length × width

The area of the table runner = 80 square inches

Let's assume the length of the rectangle is L and the width is W

Then L = 5×W ...(1)

L×W = 80 ...(2)

Put the value of L in the equation (2)

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