(30 POINTS AND BRAINLIEST) Show all work to solve 3x^2 + 5x − 2 = 0.

Mathematics

1 answer:

Dahasolnce [82]2 years ago

5 0

Answer:

The answer to your question is: (x + 2)(3x - 1) = 0

x1 = -2

x2 = 1/3

Step-by-step explanation:

3x² + 5x − 2 = 0

Multiply 3 x -2 = -6

Find two numbers that added = +5 and multiply -6

These numbers are +6 and -1

Then:

3x² + 6x -1x − 2 = 0

Factorize 3x (x + 2) - 1(x + 2) = 0

Factorize again (x + 2)(3x - 1) = 0

Finally

x + 2 = 0 3x - 1 = 0

x = -2 x = 1/3

You might be interested in

A cafe sells drink in 3 sizes: small,medium and a large. The small cup cost $0.89 and holds 9 ounces. The medium cost $1.29 and

KatRina [158]

The large cup is best to buy. This is because it costs 11 cents per ounce for the medium cup and 11 cents for the large cup as well. You get almost double the amount for the same price with the large cup.

3 0

3 years ago

0 ft elevation, diver is underwater at depth of 138 ft. In this area, the ocean floor has a depth of 247 ft. A rock formations r

KiRa [710]

We know that the ocean floor has a depth of 247 ft, and we also know that the diver is underwater at depth of 138 ft, so its distance from the ocean floor will be:
 $247-138=109$ ft

Now, the rock formations rises to a peak 171 to above the ocean floor, so to find how many feet below the top of the rock formations is the diver, we are going to subtract the distance to the driver form the ocean floor from the rock formations height:
 $171-109=62$ ft

We can conclude that the diver is 62 feet below the top of the rock formations.