To solve for x in the equation 16x + 1/x = 8, we first need to get rid of the fraction by multiplying the entire equation by x. This gives us:

16x^2 + 1 = 8x

Next, we rearrange the equation to set it equal to zero:

16x^2 - 8x + 1 = 0

This is a quadratic equation in the form ax^2 + bx + c = 0, where a = 16, b = -8, and c = 1. We can solve for x using the quadratic formula, which is:

x = [-b ± sqrt(b^2 - 4ac)] / (2a)

Substituting the values of a, b, and c into the formula gives us:

x = [8 ± sqrt((-8)^2 - 4*16*1)] / (2*16)
x = [8 ± sqrt(64 - 64)] / 32
x = [8 ± sqrt(0)] / 32
x = [8 ± 0] / 32

So, the solutions for x are 8/32 = 1/4 and 0. Therefore, the correct answer is 1/4, 1/4.

Question

To solve for x in the equation 16x + 1/x = 8, we first need to get rid of the fraction by multiplying the entire equation by x. This gives us:

16x^2 + 1 = 8x

Next, we rearrange the equation to set it equal to zero:

16x^2 - 8x + 1 = 0

This is a quadratic equation in the form ax^2 + bx + c = 0, where a = 16, b = -8, and c = 1. We can solve for x using the quadratic formula, which is:

x = [-b ± sqrt(b^2 - 4ac)] / (2a)

Substituting the values of a, b, and c into the formula gives us:

x = [8 ± sqrt((-8)^2 - 4*16*1)] / (2*16)
x = [8 ± sqrt(64 - 64)] / 32
x = [8 ± sqrt(0)] / 32
x = [8 ± 0] / 32

So, the solutions for x are 8/32 = 1/4 and 0. Therefore, the correct answer is 1/4, 1/4.

Knowee AI · Accepted Answer

To solve for x in the equation 16x + 1/x = 8, we first need to get rid of the fraction by multiplying the entire equation by x. This gives us:

16x^2 + 1 = 8x

Next, we rearrange the equation to set it equal to zero:

16x^2 - 8x + 1 = 0

This is a quadratic equation in the form ax^2 + bx + c = 0, where a = 16, b = -8, and c = 1. We can solve for x using the quadratic formula, which is:

x = [-b ± sqrt(b^2 - 4ac)] / (2a)

Substituting the values of a, b, and c into the formula gives us:

x = [8 ± sqrt((-8)^2 - 4*16*1)] / (2*16)
x = [8 ± sqrt(64 - 64)] / 32
x = [8 ± sqrt(0)] / 32
x = [8 ± 0] / 32

So, the solutions for x are 8/32 = 1/4 and 0. Therefore, the correct answer is 1/4, 1/4.

The value of x in the equation: 16x + 1/x = 8 is:radio_button_unchecked1/4, 1/4radio_button_unchecked1/4, 2radio_button_unchecked1/4, 1/2radio_button_unchecked1/2, 1/2

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