What value(s) of b will cause 27x2 + bx + 3 = 0 to have one real solution? select all that apply.

a. b = −18

b. b = −9

c. b = 9

d. b = 18

Quadratic equations can have zero, one or two real solutions

The equation is given as:

For a quadratic equation to have one real solution, the following must be true:

Where:

So, we have:

Take square roots of both sides

Hence, the values of b are (a) b = -18 and (d) b = 18

Read more about solutions of quadratic equations at:

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A & D

Step-by-step explanation:

Just plug in the possible answer choices into the equation to see if it makes sense. You'll find out that -18 and 18 work, while -9 and 9 doesn't.

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step-by-step explanation:

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