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bija089 [108]
3 years ago
9

Factor then solve. ​ 3x2+14x+8=0

Mathematics
1 answer:
tangare [24]3 years ago
4 0

Answer:

x = - 4, x = - \frac{2}{3}

Step-by-step explanation:

Given

3x² + 14x + 8 = 0

Consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term

product = 3 + 8 = 24 and sum = + 14

The factors are + 12 and + 2

Use these factors to split the x- term

3x² + 12x + 2x + 8 = 0 ( factor the first/second and third/fourth terms )

3x(x + 4) + 2(x + 4) = 0 ← factor out (x + 4) from each term

(x + 4)(3x + 2) = 0

Equate each factor to zero and solve for x

x + 4 = 0 ⇒ x = - 4

3x + 2 = 0 ⇒ 3x = - 2 ⇒ x = - \frac{2}{3}

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Solnce55 [7]

Given:

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5 0
3 years ago
Solve the system using substitution and describe your steps. <br> x=y-3 <br> 2x+y=12
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5 0
3 years ago
If George received $ 78.00 for his work at Weaver's Store, and he was paid $ 6.00 per hour, how many hours did he work?
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3 0
3 years ago
Read 2 more answers
Geometry)) Find the value of x
Harlamova29_29 [7]

Answer:

\tt x=14

Step-by-step explanation:

\tt 6x+6=90

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~

8 0
2 years ago
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I am confused by the part, "</span><span>P is the length of the line segment from D".  Were you given a length P to help you determine which point.  Using the distance formula to find the length from each point to D doesn't help determine which one is best with the information you have given.  The image shows the distances I calculated and the graphed points. 
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5 0
3 years ago
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