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kaheart [24]
3 years ago
7

How many real-number solutions does the equation have?

Mathematics
1 answer:
nevsk [136]3 years ago
3 0
If the discriminant is negative no real solution exists.
If the discriminant is equal to 0 only one real solution exists.
If the discriminant is positive 2 real solutions exist.
The discriminant:
D = b² - 4 a c
1 ) - 7 x² + 6 x + 3 = 0
D = 6² - 4 · ( - 7 ) · 3 = 36 + 84 = 120  > 0
Answer: b) two solutions
2 ) - 8 x² - 8 x - 2 = 0
D = ( - 8 )² - 4 · ( - 8 ) · ( - 2 ) = 64 - 64 = 0
Answer: a ) one solution
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186.282  is closer to  186.28  than it is to  186.29 .
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-- When  186.282  is rounded to the nearest hundredth, it becomes  186.28 .

Similarly . . .
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I'm curious . . . where did this number come from ?

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Did it come up in science class, or did a science geek use it for
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Explain why the product of a nonzero rational number and an irrational number is irrational
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A long solenoid with radius r = 7 cm and n = 3,170 turns/m carries a current i = 6. 7 a. What is the magnitude of the magnetic f
kondaur [170]

The magnitude of the magnetic field in the central area inside the solenoid, in T is 0.0267 T

<h3>Magnetic field inside solenoid</h3>

The magnetic field inside the central area of the solenoid is given by B = μ₀ni where

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  • n = number of turns per unit length = 3,170 turns/m and
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Since B = μ₀ni

Substituting the values of the variables into the equation, we have

B = μ₀ni

B = 4π × 10⁻⁷ Tm/A × 3,170 turns/m × 6.7 A

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B = 84956π × 10⁻⁷ T

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Learn more about magnetic field inside a solenoid here:

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