Mathematics, 23.07.2019 07:30 summer5716

Solve 1/2+1/2x=x^2-7x+10/4x by re-writing the equation as a proportion. which proportion is equivalent to the original equation?

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Rewriting the equation as a proportion, we have
(1/2 * 2x/2x) + (1/2x * 2/2) = (x^2 - 7x + 10)/4x
(2x/4x) + (2/4x) = (x^2 - 7x + 10)/4x

Multiplying both sides of the equation by 4x to clear the denominators:
2x + 2 = x^2 - 7x + 10
We now have a new equation that is equivalent to the original equation:
x^2 - 9x + 8 = 0

We can also write the equation into its factored form:
(x - 8)(x - 1) = 0
Now we have a product of two expressions that is equal to zero, which means any x value that makes either (x - 8) or (x - 1) zero will make their product zero.
x - 8 = 0 => x = 8
x - 1 = 0 => x = 1
Therefore, our solutions are x = 8 and x = 1.

Answer from: chazpooh208

The value of x from the system of equation will be 1 and 8 and the proportion equivalent is x^2 - 9x + 8 =0

Given the expression $\frac{1}{2} +\frac{1}{2x} = \frac{x^2-7x+10}{4x}$

Multiply the first term by 2x/2x and second term by 2/2 to have:

$\frac{2x}{4x} +\frac{2}{4x} = \frac{x^2-7x+10}{4x}$

Multiply through by 4x to have:

2x + 2 = x^2-7x+10

Collect the like terms and factorize

$2x + 2 = x^2-7x+10\\ x^2-7x+10-2x-2=0\\ x^2-9x+8=0\\x^2-8x-x+8=0\\x(x-8)-1(x-8)=0\\(x-1)(x-8)=0\\x=1 \ and \ 8$

Hence the value of x from the system of equation will be 1 and 8 and the proportion equivalent is x^2 - 9x + 8 =0

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Answer from: Quest

lol

step-by-step explanation:

Answer from: Quest

there has been genes found in the x chromosome of males that have been linked to [homo/hetero]sexuality. in addition to the reign of the x chromosome, a section of chromosome 8 has also been link to, "alot of ppl are so " these facts were proven true after a 2014 study of a gay male and his strait brother. according to newscientist.com,"chromosome 14 and is mainly active in the thyroid, but also the brain. called tshr, it makes a type of receptor protein that recognises and binds to a hormone that stimulates the thyroid. in this way, the gene plays an important role in controlling thyroid function. the fact that tshr seems to be involved in sexual orientation fits with evidence that thyroid function seems to be linked to sexuality."

in conclusion, "ppl are so gay" due to their genetics.

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