What is the solution to 3x²+x+10=0

Mathematics

1 answer:

e-lub [12.9K]2 years ago

7 0

Answer:

x = - 1/6 + √-119/6, and, - 1/6 - √-119/6

Step-by-step explanation:

Using the quadratic formula which is: - b ± √b² - 4ac / 2a

a = 3, b = 1, c = 10

- 1 ± √1² -4 * 3 * 10 / 2 * 3

- 1 ± √1 - 120 / 6

-1 ± √-119 / 6

= -1/6 + √119/6, or - 1/6 - √-119/6

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Simplify by combining like terms 4s + 1/6s + 2 3/5s

HACTEHA [7]

<h3>The solution by combining like terms is 6.7667</h3>

<em><u>Solution:</u></em>

<em><u>Given expression is:</u></em>

$4s + \frac{1}{6}s + 2\frac{3}{5}s$

We have to simplify by combining the like terms

From given,

$4s + \frac{1}{6}s + 2\frac{3}{5}s$

Convert the mixed fraction to improper fraction

$4s + \frac{1}{6}s + \frac{13}{5}s$

Make the denominator same

$\frac{4s \times 30 }{30} + \frac{1s \times 5}{6 \times 5} + \frac{13s \times 6}{5 \times 6}\\\\\frac{120s}{30} + \frac{5s}{30} + \frac{78s}{30}\\\\\frac{203}{30} = 6.7667$