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Andreyy89
3 years ago
15

Write the expression that appears under the radical symbol in the quadratic formula. what is the quality called? what can it be

used to determine?
Mathematics
1 answer:
ira [324]3 years ago
8 0
This expression is called the Discriminant, also shown as Δ.
It is equal to b² - 4ac. This is a very important part of the quadratic formula as it determines whether x will have two values, one repeated value or no real values. Here are a few examples.

a) x² - 2x - 1. a is equal to 1 since 1x² = x². b = -2, c = -1
The discriminant will be (-2)² - 4×1×-1 = 4 + 4 = 8.
Since Δ > 0, there are two x values. Graphed, the parabola sinks below the x axis.

b) x². a = 1, b = 0 (0x = 0), c = 0
The discriminant will be 0² - 4×1×0 = 0 - 0 = 0.
Since Δ = 0, there is only one x value. Graphed, the parabola touches the x axis at only one point.

c) x² + 1. a = 1, c = 1.
The discriminant will be 0² - 4×1×1 = 0 - 4 = -4
Since Δ < 0, there are no real x values. Graphed, the parabola floats above the x axis.

Hope this helps!
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A rectangular prism has a length of 5 cm, a width of 2 1/2 cm, and a expressions height of 1 1/2 cm. Which can be used to find t
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To find the volume of a rectangular prism, we can use the formula [ V = l * w * h ]

V = 5 * 2 1/2 * 1 1/2

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Now that we know the volume, we can check each answer choice.

Option A:

5 ∙ 2 1/2 ∙ 1 1/2

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Option B:

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Option C:

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Option D:

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Therefore, the only correct options are A and B.

Best of Luck!

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