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Paladinen [302]
3 years ago
11

What are the zeros of the quadratic function f(x) = 6x2 + 12x – 7?

Mathematics
2 answers:
omeli [17]3 years ago
8 0

Answer:

-6 ± √78\6 [0.47196014..., -2.47196014... = x]

Step-by-step explanation:

The roots [zeros] are the x-values where the graph intersects the x-axis. To find the roots (zeros), replace y with 0 and solve for x.

Anika [276]3 years ago
3 0

Answer:

x = 1 + √74/6 or x = 1 - √74/6

Step-by-step explanation:

Points to remember

Zeros of a quadratic equation ax² + bx + c = 0

x = [-b ± √(b² - 4ac)]/2a

<u>To find the zeros of given quadratic equation</u>

It is given that,

6x² +12x - 7 = 0

Here a = 6, b = -12 and c = -7

x = [-b ± √(b² - 4ac)]/2a

 =  [-12 ± √(12² - 4*6*(-7))]/2*6

 = [12 ± √(144 +168 )]/12

 =  [12 ± √312]/12

 = [12 ± 2√74]/12

 = 1 ± √74/6

x = 1 + √74/6 and x = 1 - √74/6

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Mike has 78 feet of fencing available for his garden, this is the perimeter (P) of the rectangle:
Perimeter: P=78 feet

The formula of Perimeter is:
P=2(W+L), where W is the width and L is the length, then:

P=78→2(W+L)=78
Dividing both sides of the equation by 2:
2(W+L)/2=78/2
W+L=39

If the shape is of a golden rectangle, we know:
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Replacing this above:
W+1.6W=39
Adding similar terms:
2.6W=39
Solving for W
2.6W/2.6=39/2.6
W=15 feet

L=1.6W=1.6(15)→L=24 feet

Answer: T<span>he dimensions of the garden are: Width=15 feet and Length=24 feet. </span>
4 0
2 years ago
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ludmilkaskok [199]

Answer:

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Step-by-step explanation:

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3 years ago
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There are 44 eggs left.
Work:
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4 0
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Answer:

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Step-by-step explanation:

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