Question

write in standard form 2x-5/x=x-6

Answer 1

2x-5/x=x-6
2x^2-5=x(x-6)
2x^2-5=x^2-6x
2x^2-x^2-5+6x=0
x^2+6x-5=0


hope it helps you

Answer 2

Concept:

Mathematical equation is a relation which involves two or more mathematical quantities, numbers, variables and mathematical operations which are related ultimately by an equal (=) sign.

Quadratic form is a form in which the highest power of involving variable is 2.

Given:

Given the form is 2x - 5/x = x-6

Find:

The standard form of the above equation.

Solution:

The given equation is,

2x - 5/x = x-6

2x - x - 5/x = 6, separating the variable and numbers

x - 5/x = 6

(x*x-5)/x = 6, since the LCM of x and 1 = x

$x^2-5=6x$

$x^2-6x-5=0$, this is the standard form.

Hence the standard form of given equation 2x - 5/x = x-6 is given by $\mathbf{x^2-6x-5=0}$, which is a quadratic equation.

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