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Xelga [282]
3 years ago
7

Use the quadratic formula to solve the equation. If necessary, round to the nearest hundredth. 2a2 − 30a + 108 = 0

Mathematics
2 answers:
Liono4ka [1.6K]3 years ago
8 0
The quadratic formula is
- b +  -  \sqrt{ {b}^{2} - 4ac }  \div 2a
A = 2
B = -30
C = 108
plug in the values for the equation and you'll get what the factors are

-(-30)+√(-30)²-4(2)(108))/2(2)

and

-(-30)-√(-30)²-4(2)(108))/2(2)
This will give you your A values
and just round the answers from both of the above equations
il63 [147K]3 years ago
3 0

Two real solutions:


a =(15+√9)/2=(15+3)/2= 9.000


or:


a =(15-√9)/2=(15-3)/2= 6.000



Two solutions were found :

a = 9

a = 6


Processing ends successfully!!!!






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Read 2 more answers
If 1900 square centimeters of material are available to make a box with a square base and an open top, find the largest possible
Evgen [1.6K]

Answer:

Volume = 7969 cubic centimeter

Step-by-step explanation:

Let the length of each side of the base of the box  be A and the height of the box be H.

Area of material required to make the box  is equal to  is A^2 + 4*A*H.

A^2 + 4*A*H = 1900

 Rearranging the above equation, we get -  

`H = \frac{(1900 - A^2)}{(4*A)}

Volume of box is equal to product of base area of box and the height of the box -  

V = A*A* H

Substituting the given area we get -

\frac{A^2*(1900 - A^2)}{4A} = \frac{(1900*A - A^3)}{4}

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\frac{ 1900}{4} - \frac{3*A^2}{4} = 0

A^2 = \frac{1900}{3}

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= \frac{\frac{1900}{3}*(1900 - \frac{1900}{3}) }{4 * \sqrt{\frac{1900}{3} } }

= 7969 cubic centimeter

3 0
3 years ago
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