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Nostrana [21]
3 years ago
15

Dicriminant of x² – 49 = 0

Mathematics
1 answer:
Mama L [17]3 years ago
6 0

Answer:

196

Step-by-step explanation:

The discriminant (Δ) is given by:

\Delta = b^2-4ac

Where the polynomial is in the form:

ax^2+bx+c=0

In this problem, a = 1, b = 0, and c = -49. Thus, plugging it into the formula:

\Delta = 0^2-4(1)(-49) = -(-196) = 196

Thus, the discriminant of x² – 49 = 0 is 196.

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Step-by-step explanation:

Remark

The editor must have brackets put around the denominator when there are 2 terms.

That means I think the question is (√5) / (√8 - √3). If this is incorrect, leave a note.

To rationalize the denominator, you must multiply numerator and denominator by the conjugate  (√8 + √3).

Solution

√5 *  (√8 - √3) /  ( (√8 - √3) *  (√8 + √3)  )  

I don't think there is any point in removing the brackets in the numerator. Just leave it.

The denominator is a different matter.

denominator = ( (√8 - √3) *  (√8 + √3)  )

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What you are left with is 8 - 3 = 5

So the final answer is

√5 *  (√8 - √3)

=============

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