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elixir [45]
2 years ago
6

Show all work to solve 3x2 − x − 2 = 0.

Mathematics
2 answers:
AfilCa [17]2 years ago
3 0

Answer:

x=-2/3 and 1

Step-by-step explanation:

3x^2-x-2=0

(3x+2)(x-1)

3x=-2

x=-2/3

x=1

xxMikexx [17]2 years ago
3 0

Answer:

Step-by-step explanation:

3x^2-x-2=0

(3x+2)(x-1)

3x=-2

x=-2/3

x=1

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What is the side length, in inches, of the pets
tatiyna

Candy draws a square design with a side length of x inches for the window at the pet shop. She takes the design to the printer and asks for a sign that has an area of 16x2 – 40x + 25 square inches. What is the side length, in inches, of the pet shop sign?

Answer:

the length of the sign is 4x-5 inches

Step-by-step explanation:

Given

Area of the square of design = 16x^{2} -40x+25

First we find the roots of equation 16x^{2} -40x+25=0

The roots of the quadratic equation ax^{2} +bx^{2} +c=0 are given by

x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}

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x=\frac{40\pm\sqrt{(-40)^2-4\times 16\times 25}}{2\times 16}

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x=\frac{40\pm\sqrt{0}}{32}

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Area of a square = Length^2

Thus, the length of the sign is 4x-5 inches

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