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lawyer [7]
2 years ago
7

X2 – 7x + 6 = -8 solve using factoring

Mathematics
1 answer:
murzikaleks [220]2 years ago
7 0

Answer:

Step-by-step explanation:

Rewrite this in standard quadratic equation form:  x^2 - 7x +  6 + 8 = 0, or x^2 - 7x + 14 = 0.  This does not factor easily, so I will use the quadratic formula to find the roots and then write out the factors based upon the roots:

The discriminant is b^2 - 4ac, which here is (-7)^2 - 4(1)(14) = -7.

Because the discriminant is negative, we know that there are two unequal, complex roots.  They are:

      -(-7) ± i√7         7 ± i√7

x = ----------------- = ---------------

              2                     2

One factor is (x - [1/2]{7 ± √7}  )

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The service area of the cylinder is 42\pi square fts.

<h3>What is cylinder?</h3>

Two parallel bases joined by a curving surface make up the three-dimensional solid known as a cylinder.

Typically, the bases are shaped like circles. The height "h" of the cylinder stands for the perpendicular distance between the bases, while "r" stands for the cylinder's radius.

The uses of cylinder are-

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Total surface area of the cylinder formula:

It is the sum of the base surface area and the lateral surface area;

Total area = base area + lateral area , or

Total area = 2 π r² + (2 π r) h , or

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Calculation for the total area of the cylinder;

Base diameter is 6 ft

Radius is 6/2 = 3 ft

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Total area = 2\pi3(3 + 4)

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Therefore, the total surface area of the cylinder is 42\pi square fts.

To know more about the surface area of the cylinder, here

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