Question

7.
4. The sum of a number and three times its reciprocal is
2
a) Consider the number as x, construct an equation for the above data
b) Find the equation,​

Answer 1

Step-by-step explanation:

let the number required be x

Three time reciprocal of x is

$3( \frac{1}{x} )$

Sum of the number and 3 times reciprocal is 2

I.e.

$x + 3( \frac{1}{x} ) = 2$

$x + \frac{3}{x} = 2$

$\frac{ {x }^{2} + 3}{x} = 2$

${x}^{2} + 3 = 2x$

${x}^{2} - 2x + 3 = 0$

This the required equation

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