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USPshnik [31]
4 years ago
13

Given the equation 2x2 - 5x + 7 = 0. Find the discriminant. Describe the roots and explain your reasoning.

Mathematics
1 answer:
White raven [17]4 years ago
8 0
The discriminant of a quadratic equation is a parameter that is used to determine the nature of the roots of the equation. The discriminant can be determined by b2- 4ac. In this case, upon substitution, 25- 4*2*7 = -31 in which the roots are negative and iimaginary. 
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The voltage in exponential form would be (\frac{3}{5})^3.

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Let x represent the original voltage.

We have been given that the voltage in an electrical circuit is multiplied by itself each time it is reduced. The voltage is 27/125 of a volt and it has been reduced 3 times.

The original voltage multiplied by itself for 3 times would be x\cdot x\cdot x=x^3.

Now, we will equate x^3 with 27/125 as:

x^3=\frac{27}{125}

We know that 27 is cube of 3 and 125 is cube of 5, so we can represent our equation as:

x^3=\frac{3^3}{5^3}

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Therefore, the voltage in exponential form would be (\frac{3}{5})^3

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Using property \sqrt[n]{a^n} =a, we will get:

x =\frac{3}{5}

Therefore, the original voltage in the circuit is \frac{3}{5} of a volt.

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