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muminat
4 years ago
8

Using the quadratic formula to solve 11x²-4x=1 What are The values of X?

Mathematics
2 answers:
Anvisha [2.4K]4 years ago
8 0
11x^2 - 4x = 1
11x^{2} - 4x - 1 = 1 - 1
11x^{2} - 4x - 1 = 0
x = \frac{-(-4) \± \sqrt{(-4)^{2} - 4(11)(-1)}}{2(11)}
x = \frac{4 \± \sqrt{16 + 44}}{22}
x = \frac{4 \± \sqrt{60}}{22}
x = \frac{4 \± 2\sqrt{15}}{22}
x = \frac{2 \± \sqrt{15}}{11}
x = \frac{2 + \sqrt{15}}{11}\ \bold{or}\ x = \frac{2 - \sqrt{15}}{11}
TiliK225 [7]4 years ago
7 0

Answer:

a - 2/11 + sqrt15/11

Step-by-step explanation:

trust me


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5 plus 2 minus 6 times 4​
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Answer:

714

Step-by-step explanation:

5+2=7

7-6=1

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4 0
3 years ago
Please answer this correctly
olga_2 [115]

Answer:

320

Step-by-step explanation:

so finding 80% of 400

move the decimal in 80% over twice to become a whole number

multiply 400 times 80=32,000

move the decimal back twice

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4 0
4 years ago
Suppose a railroad rail is 4 kilometers and it expands on a hot day by 16 centimeters in length. Approximately how many meters w
muminat

Answer:

17.8 meters

Step-by-step explanation:

Given:

before expansion  railroad rail= 4 km

expansion= 16 cm

railroad makes an isosceles triangle at the center of the rail when it expands

The base of the triangle=4 km

As 1km=100,000 cm

thus 16 cm= 16/100,000 km

each side of this triangle= (4 + 16/100,000) / 2 = 4.0001 / 2 = 2.00008 km

One half of the isosceles triangle makes a right triangle with one of the side =4 / 2 = 2 km

and the hypotenuse = 2.00008 km

Using Pythagoras theorem to find the third side of this right angles triangle:

c^2=a^2+b^2

2.00008^2= 2^2 + b^2

2.00008^2 - 2^2=b^2

b=0.0178 km

b= 17.8 m

hence, approximately 17.8 meters would the center of the rail rise above the​ ground!

8 0
4 years ago
Describe how (2^3)(2^-4) can be simplified
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Answer:

Add the exponents and keep the bases the same. Then find the reciprocal and change the sign of the exponent

Step-by-step explanation:

When multiplying exponents with the same base number, you can add the powers. (If it was dividing, you would subtract the powers). You would then get 2^{-1}.

  • 2³ = 8,
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The pattern is to divide by 2. This means that 2^{-1} would be 1 ÷ 2 which is 1/2.

Tip: Any number to the power of -1 means to give its reciprocal.

Hope this helps!

5 0
3 years ago
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