The quadratic equation 3x2 + 45x + 24 = 0 was solved using the Quadratic Formula, x equals negative b plus or minus the square root of b squared minus 4 times a times c, all over 2 times a.

One solution is −14.45. What is the other solution? Round to the hundredths place.

−1.11
−0.55
0.52
14.45

-0.55

Step-by-step explanation:

Quadratic Formula:

Case 1:

Substitute values:

= -0.55 (2dp) (Answer)

Case 2:

Substitute values:

= -14.45 (2dp)

Since x = -14.45 is known, the other solution  is x = -0.55

-0.55

Step-by-step explanation:

3x² + 45x + 24 = 0

x² + 15x + 8 = 0

General form:

x² - (sum of roots)x + product = 0

Product = 8

(-14.45)(X) = 8

X = 8/-14.45

X = -0.553633218 = -0.55

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step-by-step explanation:

2 tens + 6 ones

1 ten + 16 ones

0 tens + 26 ones