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raketka [301]
2 years ago
12

Solve using the quadratic formula. Approximate answers to the nearest tenth. Help

Mathematics
1 answer:
Pepsi [2]2 years ago
6 0

Answer:

x = 2.4 or x = 0.3

Step-by-step explanation:

3x² - 8x + 2 = 0

Quadratic formula

x = {-b ±√b² - 4ac} / 2a

a = 3

b = -8

c = 2

x = {-b ±√b² - 4ac} / 2a

= {-(-8) ±√(-8)² - 4*3*2} / 2*3

= (8 ± √64 - 24) / 6

= (8 ± √40) / 6

= (8 ± 2√10) / 6

= 8/6 ± 2√10/6

= 4/3 ± √10 / 6

x = 4/3 + √10 / 6 or 4/3 - √10 / 6

x = 2.4 or x = 0.3

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Starting just to the right of x = -4, the y-values begin to increase from the lowest y-value of 1. The arrowhead at the right side top shows that the curve continues increasing forever to infinity.

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The interval in x of increasing values goes to positive infinity, so now you write the infinity symbol, and you close the interval with a curved parenthesis. By convention, infinity always gets a curved parenthesis. Also, I'll use oo for infinity below.

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