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aliya0001 [1]
2 years ago
13

5X(squared) - 4X = 6 Solve for X

Mathematics
2 answers:
Leto [7]2 years ago
7 0
5x^2 - 4x = 6

<span>5x^2 - 4x - 6 = 0 
</span>
Use the quadratic equation (I attached a photo of it)
Now, you can use this formula to know what to plug into the formula:
ax^2<span> + </span>bx<span> + </span>c<span> = 0
</span>
The easiest way to understand what to plug in is just to put your equation right next to this one:
ax^2 + bx + c<span> = 0
</span><span>5x^2 - 4x - 6 = 0 
</span>So, 
A= 5
B= -4
C= -6

So, plug it in a solve. Remember you cannot take the square root of a negative number or 0. If it does not come to a number that is easily square rooted you must simplify it to this for example: 5 times the square root of 7.  Also, your answer will be x plus or minus a number. This means that the number could be either negative or positive. <span>If you have anymore questions let me know.</span>

Andrews [41]2 years ago
7 0

Answer:

x=\frac{2+\sqrt{34}}{5} and x=\frac{2-\sqrt{34}}{5}

Step-by-step explanation:

5x^2-4x=6

To solve for x , we need to get 0 on the right side

Subtract 6 on both sides

5x^2-4x-6=0

Factor the left hand side

To solve for x , we apply quadratic formula

x=\frac{-b+-\sqrt{b^2-4ac}}{2a}

The value of a=5, b=-4, c= -6

x=\frac{4+-\sqrt{(-4)^2-4(5)(-6)}}{2(5)}

x=\frac{4+-\sqrt{136}}{10}

x=\frac{4+-2\sqrt{34}}{10}

Divide top and bottom by 2

x=\frac{2+-\sqrt{34}}{5}

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Use identities to find the values of the sine and cosine functions for the following angle measure.
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Using the cosine double angle formula,

\cos 2\theta=2\cos^2 \theta-1=\frac{12}{13}\\\\2\cos^{2} \theta=\frac{25}{13}\\\\\cos^{2} \theta=\frac{25}{26}\\\\\boxed{\cos \theta=\frac{5}{\sqrt{26}}}

(Note I took the positive case since \theta terminates in the first quadrant)

Using the Pythagorean identity,

\sin^2 \theta+\cos^2 \theta=1\\\\\sin^2 \theta+\frac{25}{26}=1\\\\sin^2 \theta=\frac{1}{26}\\\\\boxed{\sin \theta=\frac{1}{\sqrt{26}}}

(Note I took the positive case since \theta terminates in the first quadrant)

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1 year ago
Which statement best compares savings accounts and money market accounts?
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Noah’s recipe for one batch of sparkling orange juice uses 4 liters of orange juice and 5 liters of soda water. If someone uses
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Answer:

D.

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In the diagram, TC represents a vertical building. The points, A and B, are on the same level as the foot C of the building such
Alenkinab [10]

Answer:

(a) The height of the building is 60.06 m

(b) The distance AB is 139.43 m

Step-by-step explanation:

The given parameters are

Given that segment BT = segment AT + 29

By trigonometric ratios, we have;

cos∠ATC = CT/AT

cos∠BTC = CT/BT

Therefore, we have;

cos(40°) = CT/AT.................................(1)

cos(56°) = CT/BT = CT/(AT + 29).....(2)

cos(56°) = CT/(AT + 29)......................(3)

From equation (1)

CT = AT×cos(40°)

From equation (3)

AT×cos(56°) + 29 × cos(56°) = CT

Therefore;

AT×cos(40°) = AT×cos(56°) + 29 × cos(56°)

AT×cos(40°) - AT×cos(56°) =  29 × cos(56°)

AT×(cos(40°) - cos(56°)) =  29 × cos(56°)

AT = 29 × cos(56°)/(cos(40°) - cos(56°)) = 78.4 m

TC = CT = AT×cos(40°) = 78.4×cos(40°) = 60.06 m

The height of the building = 60.06 m

(b) BT = AT + 29 = 78.4 m + 29 m= 107.4 m

AB = AT×sin(∠ATC ) + BT×sin(∠BTC) = 78.4×sin(40°) + 107.4×sin(56°) =  139.43 m

The distance AB =  139.43 m.

6 0
2 years ago
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