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Thepotemich [5.8K]
3 years ago
14

What are the roots of the polynomial equation x4+x2=4x3-12x+12? use a graphing calculator and a system of equations. round no in

teger roots to the nearest hundredth
-12
–2.73, 2.73
–1.73, 1.73
12

Mathematics
2 answers:
Romashka [77]3 years ago
7 0
I think the answer is c but i may be wrong, try using desmos online graphing calculator
Mumz [18]3 years ago
6 0

Answer:

x = 2, x =-2, x = 1.73, x = -1.73    

Step-by-step explanation:

We are given the equation:

x^4+x^2=4x^3-12x+12\\x^4-4x^3+x^2+12x-12=0

The attached image shows the graph for the given equation.

We can also factorize the given equation in the following manner.

By hit and trial method, we checked that 2 is a root of the given equation, that is,

(2)^4-4(2)^3+(2)^2+12(2)-12 = 0

Thus, we can write:

(x-2)(x^3-2x^2-3x+6 ) = 0\\(x-2)(x^2(x-2)-3(x-2)) = 0\\(x-2)(x-2)(x^2-3) = 0\\(x-2)(x-2)(x-\sqrt3)(x+\sqrt3)=0\\x=2,x=-2, x = \sqrt3, x = -\sqrt3

Thus, the roots of given equation are:

x = 2, x =-2, x = 1.73, x = -1.73

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(2)/(3) =( 4)/( 3+x) help give brainliest if correct and explanation please
Juli2301 [7.4K]

Answer:

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

Cross multiply

2*(3+x)= 4*3

Solve bracket

6+2x=12

Subtract 6 from both sides

2x=6

Divide both sides by 2

x=3

Hope it helps :-)

7 0
3 years ago
Read 2 more answers
Can someone plsss help me with the 2 one
stepan [7]

Answer: \sqrt{73} for number 7

Step-by-step explanation:

a²+b²=c²

3²+8²=c²

9+64=c²

\sqrt{73}=\sqrt{c^2}\\\sqrt{73}=c

8 0
3 years ago
(2a^3 b^4) ^4= <br> What is the answer to this problem ?
Jet001 [13]

Answer: 16a^12 b^16

Step-by-step explanation:

Everything in the parenthesis to the 4th power.

2a^4= 16a

3*4=12

b^4*4=b^16

3 0
3 years ago
Simplify -2a(7a^5-5a+5)
olga_2 [115]
Here here here here here here here

3 0
2 years ago
0.3(4-x)=x-1.4 how do you solve this problem?
tresset_1 [31]

Answer:

x = 2.

Step-by-step explanation:

Solve for x:

0.3 (4 - x) = x - 1.4

Expand out terms of the left hand side:

1.2 - 0.3 x = x - 1.4

Subtract x from both sides:

1.2 + (-0.3 x - x) = (x - x) - 1.4

-0.3 x - x = -1.3 x:

-1.3 x + 1.2 = (x - x) - 1.4

x - x = 0:

1.2 - 1.3 x = -1.4

Subtract 1.2` from both sides:

(1.2 - 1.2) - 1.3 x = -1.2 - 1.4

1.2 - 1.2 = 0:

-1.3 x = -1.2 - 1.4

-1.2 - 1.4 = -2.6:

-1.3 x = -2.6

Divide both sides of -1.3 x = -2.6 by -1.3:

(-1.3 x)/(-1.3) = (-2.6)/(-1.3)

(-1.3)/(-1.3) = 1:

x = (-2.6)/(-1.3)

(-2.6)/(-1.3) = 2.:

Answer:  x = 2.

4 0
3 years ago
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