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Amiraneli [1.4K]
3 years ago
6

Write the quadratic equation whose roots are 5 and -3, and whose leading coefficient is 1

Mathematics
1 answer:
kogti [31]3 years ago
4 0
1. A quadratic equation has the following form: ax²+bx+c.
 
 2. The leading coefficient is the number that is attached to the variable with the highest exponent. Then, the "a" is the leading coefficient of the quadratic equation.
 
 3. The problem says that the leading coefficient is 1 (a=1) and the roots of the quadratic equation are 5 and -3. Then, you have:
 
 (x-5)(x+3)=0
 
 4. When you apply the distributive property, you obtain:
 
 x²+3x-5x-15=0
 x²-2x-15=0
 
 5. Therefore, the answer is:
 
 x²-2x-15=0
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The perimeter of a playing field for a certain sport is 254 ft. The length is 47 ft longer than the width. Find the dimensions.
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Step-by-step explanation:

Let L represent the length of the playing field.

Let W represent the width of the playing field.

The playing field is rectangular. The formula for determining the perimeter of a rectangle is expressed as

Perimeter = 2(L + W)

The perimeter of a playing field for a certain sport is 254 ft. This means that

254 = 2(L + W)

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