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jarptica [38.1K]
3 years ago
11

What is the value of b2 - 4ac for the following equation? 2x2 + 3x = -1

Mathematics
2 answers:
andreyandreev [35.5K]3 years ago
7 0
The value of b^2-4ac is known as the discriminant of a quadratic function, and can tell you how many roots exist of this function depending on what it is equal to.

Start by moving the -1 to the other side, as we need this function to equal zero.

2x^2 + 3x + 1 = 0

This is now the standard form ax^2 + bx + c = 0. Plug each value that corresponds into the discriminant equation.

b^2-4ac
(3)^2 - 4(2)(1)
9 - 8
1

The value of the discriminant is 1, meaning that two real roots exist for the function described.
grandymaker [24]3 years ago
5 0

Answer:

17

Step-by-step explanation:

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ANSWER

x = \pm \sqrt{17}
EXPLANATION

The given equation is

ln( {x}^{2} - 16) = 0

Take antilogarithm of both sides to base e.

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This will simplify to

{x}^{2} - 16 = 1

Group like terms to obtain,

{x}^{2} = 1 + 16

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Take square root of both sides to get,

x = \pm \sqrt{17}
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