P = 180 - (360 - 90 - 133)
p = 180 - 137
p = 43
<h2>
The greatest possible value of the second root, β = 54 </h2>
Step-by-step explanation:
The given quadratic equation:
![x^2-5mx+6m^2=0](https://tex.z-dn.net/?f=x%5E2-5mx%2B6m%5E2%3D0)
Let α and β be the roots of the given quadratic equation.
α = 36
To find, the greatest possible value of the second root ( β) = ?
∴ The sum of the roots,
α + β = ![\dfrac{-b}{a}](https://tex.z-dn.net/?f=%5Cdfrac%7B-b%7D%7Ba%7D)
⇒ 36 + β =
⇒ 5m = 36 + β ............. (1)
The product of the roots,
α.β = ![\dfrac{c}{a}](https://tex.z-dn.net/?f=%5Cdfrac%7Bc%7D%7Ba%7D)
⇒ ![36.\beta=\dfrac{6m^2}{1}](https://tex.z-dn.net/?f=36.%5Cbeta%3D%5Cdfrac%7B6m%5E2%7D%7B1%7D)
⇒
............. (2)
From equations (1) and (2), we get
⇒ ![(\dfrac{36+\beta}{5})^{2}=6\beta](https://tex.z-dn.net/?f=%28%5Cdfrac%7B36%2B%5Cbeta%7D%7B5%7D%29%5E%7B2%7D%3D6%5Cbeta)
⇒ ![\beta^2-78\beta+1296=0](https://tex.z-dn.net/?f=%5Cbeta%5E2-78%5Cbeta%2B1296%3D0)
⇒ ![\beta^2-54B\beta-24B\beta+1296=0](https://tex.z-dn.net/?f=%5Cbeta%5E2-54B%5Cbeta-24B%5Cbeta%2B1296%3D0)
⇒ β(β - 54) - 24(β - 54) = 0
⇒ (β - 54)(β - 24) = 0
⇒ β - 54 = 0 or, β - 24 = 0
⇒ β = 54 or, β = 24
∴ The greatest possible value of the second root, β = 54
Answer:
415.625
Step-by-step explanation:
1. Yo dividida 35 por 8. La respuesta de eso es 4.375.
2. Yo multiplica 4.375 por 95. La respuesta es 415.625 km.