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marysya [2.9K]
3 years ago
11

If rhe discriminant of a quadratic equation is equal to -8 which statement describes the roots

Mathematics
1 answer:
Nastasia [14]3 years ago
6 0

Answer:

Step-by-step explanation:

Given

Discriminant = -8

Required

Determine the type of roots

Represent Discriminant with D; such that

D = -8

D is calculated as thus

D = b^2 - 4ac

And it has the following sequence of results

When D > 0; then the roots of the quadratic equation are real but not equal

When D = 0; then the roots of the quadratic equation are real and equal

When D < 0; then the roots of the quadratic equation are complex or imaginary

Given that D = -8; This means that D < 0; and base on the above analysis, we can conclude that the roots of the quadratic equation are complex or imaginary

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           y

Simplify   —

           5

Equation at the end of step  1  :

      y      

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Step  2  :

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Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

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Adding fractions that have a common denominator :

2.2       Adding up the two equivalent fractions

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

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————————————  =  ———————

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Step  3  :

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Equation at the end of step  3  :

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Step  4  :

When a fraction equals zero :

4.1    When a fraction equals zero ...

Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.

Now,to get rid of the denominator, Tiger multiplys both sides of the equation by the denominator.

Here's how:

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    5    

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The equation now takes the shape :

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