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Vadim26 [7]
3 years ago
7

PLEASE PLEASE PLEASE HELP Find the value of the discriminant. Then describe the number and type of roots for the equation.

Mathematics
1 answer:
Ray Of Light [21]3 years ago
5 0

ANSWER

The discriminant is 384. Because the discriminant is greater than 0 and is not a perfect square, the two roots are real and irrational.

EXPLANATION

The given quadratic equation is:

- 3 {x}^{2}  - 18x + 5 = 0

We compare this equation to:

a {x}^{2}  + bx + c = 0

We have a=-3,b=-18, and c=5.

The discriminant of a quadratic equation is calculated using the formula:

D=b^{2}  - 4ac

We plug in the values to obtain:

D= {( - 18)}^{2}  - 4( - 3)(5)

D= 324 + 60

Simplify:

D= 384

The discriminant is greater than zero, hence there are two distinct real roots.

Since 384 is not a perfect square, the roots are irrational.

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