5. Mr. Martinez is getting a rug for his den and wants to make sure it will fit.He knows the area of the den is 547.35 square fe
et. He measured one wall and found it was 26.7 feet long. Mr. Martinez found a rug that measured 23.5 feet on all sides. Will this rug fit in Mr. Martinez's den? Explain.
1 answer:
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Answer:
Step-by-step explanation:
<u><em>Given Equation is </em></u>
=>
Comparing it with , we get
=> a = 2, b = 7 and c = -9
So,
Sum of roots = α+β =
α+β = -7/2
Product of roots = αβ = c/a
αβ = -9/2
<em>Now, Finding the equation whose roots are:</em>
α/β ,β/α
Sum of Roots =
Sum of Roots =
Sum of Roots =
Sum of roots =
Sum of roots =
Sum of Roots =
Sum of roots =
Sum of roots = S =
Product of Roots =
Product of Roots = P = 1
<u><em>The Quadratic Equation is:</em></u>
=>
=>
=>
=>
This is the required quadratic equation.