Please help me it’s getting late and it’s due tomorrow
For what value(s) of b does the equation
x +3 - x = (bx - 5) have
exactly one solution?

Please help me its getting late and its due tomorrow For what values of b does the equation x 3 x bx 5 have exactly one solution class=

Respuesta :

Answer:

[tex]b = \dfrac{11}{x} + 1[/tex]

Step-by-step explanation:

The equation is given as follows;

[tex]x + 3 - \dfrac{1}{2} \cdot x = \dfrac{1}{2} \cdot (b \cdot x - 5)[/tex]

By expanding and collecting terms in x we get;

[tex]3 + \dfrac{x}{2} = \dfrac{b \cdot x}{2} - 2.5[/tex]

[tex]\therefore 3 + 2.5 + \dfrac{x}{2} = 5.5 + \dfrac{x}{2} = \dfrac{b \cdot x}{2}[/tex]

b = (11 + x)/x = 11/x + 1

The equation has exactly one solution when b = 11/x + 1

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