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katrin2010 [14]
3 years ago
7

Transform the equation to isolate x: ax = bx 1. How is the value of x related to the difference of a and b?

Mathematics
2 answers:
cestrela7 [59]3 years ago
5 0

Answer:

The value of x is reciprocal of the difference of a and b.

Step-by-step explanation:

We are given the equation, ax=bx+1

On simplifying, we get,

ax=bx+1

i.e. ax-bx=1

i.e. (a-b)x=1

i.e. x=\frac{1}{a-b}

So, we get,

The value of x is \frac{1}{a-b}.

That is, the value of x is reciprocal of the difference of a and b.

jeka57 [31]3 years ago
4 0

The equation ax = bx + 1 is the same as x = 1/(a  - b) when solved for x. This means that x is equal to the reciprocal of the difference of a and b.


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Find the TWO integers whos product is -12 and whose sum is 1<br>​
julsineya [31]

Answer:

\rm Numbers = 4 \ and \ -3.

Step-by-step explanation:

Given :-

The sum of two numbers is 1 .

The product of the nos . is 12 .

And we need to find out the numbers. So let us take ,

First number be x

Second number be 1-x .

According to first condition :-

\rm\implies 1st \ number * 2nd \ number= -12\\\\\rm\implies x(1-x)=-12\\\\\rm\implies x - x^2=-12\\\\\rm\implies x^2-x-12=0\\\\\rm\implies x^2-4x+3x-12=0\\\\\rm\implies x(x-4)+3(x-4)=0\\\\\rm\implies (x-4)(x+3)=0\\\\\rm\implies\boxed{\red{\rm x = 4 , -3 }}

Hence the numbers are 4 and -3

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What are the solutions of 3x^2-x+4=0
guajiro [1.7K]
3x² -x+4=0

We can use quadratic formula
a=3, b= -1, c=4
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x= \frac{1+ \sqrt{47}i }{6} &#10;\\ \\ x=  \frac{1- \sqrt{47}i }{6}


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PLEASE help with these questions??<br> there are 7 of them!<br> Thank you!!
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We know in these kind of triangles that have a 90 degrees angle, we can do:

{a}^{2} + {b}^{2} = {c}^{2}

so the first question:

\sqrt{ {99}^{2} + {20}^{2} } = 101

and then:

b = \sqrt{ {17}^{2} - {15}^{2} } = 8

so , when you want to rationalize , usually you must multiply the irrational factor as 1:

\frac{ \sqrt{15} }{ \sqrt{15} } = 1

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