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1 year ago

Use the discriminant to determine the type and number of solutions.

Mathematics

1 answer:

Nata [24]1 year ago

5 0

The type and number of solutions is (b) two imaginary solutions.

<h3>How to determine the type and number of solutions?</h3>

The equation is given as:

3x² + 5x + 5 = 0

A quadratic equation can be represented as:

ax^2 + bx + c = 0

Where, the discriminant (d) is

d = b^2 - 4ac

So, we have

d = 5^2 - 4 * 3 * 5

Evaluate

d = -35

The value of d is negative

This means that the equation has only imaginary solutions

Hence, the type and number of solutions is (b) two imaginary solutions.

Read more about number of solutions at

brainly.com/question/25275758

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Step-by-step explanation:

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$PQ:\ \dfrac{4-0}{0-(-3)}=\dfrac{4}{3}\\ \\QR:\ \dfrac{1-4}{4-0}=-\dfrac{3}{4}\\ \\RS:\ \dfrac{-3-1}{1-4}=\dfrac{4}{3}\\ \\SP:\ \dfrac{0-(-3)}{-3-1}=-\dfrac{3}{4}$