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1 year ago

Use the discriminant to identify the number and type of solutions for the equation -5x2 + 4x + 1 = 0.

Mathematics

1 answer:

ASHA 777 [7]1 year ago

6 0

The number of solutions in the equation is (b) two real solutions

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

The quadratic equation is given as

-5x2 + 4x + 1 = 0.

Rewrite properly as

−5x² + 4x + 1 = 0

The discriminant of a quadratic equation is calculated using

d = b² - 4ac

In the equation −5x² + 4x + 1 = 0, we have

a = -5, b = 4 and c = 1

Substitute a = -5, b = 4 and c = 1 in d = b² - 4ac

So, we have

d = (4)² - 4 * (-5) * (1)

Evaluate

d = 36

Because the discriminant is greater than 0, the equation has two solutions and the type of solution is real solution

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