daniellaokechukwu159 daniellaokechukwu159
  • 14-02-2020
  • Mathematics
contestada

make x the subject of formula in the equation

make x the subject of formula in the equation class=

Respuesta :

Killgore Killgore
  • 14-02-2020

Answer:

Squaring on both sides,

a-x/x = b^2

a-x = xb^2

a = xb^2 + x

a = x(b^2 + 1)

x = a/b^2 + 1

Please mark as Brainliest....Any doubts?

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Officialalehpeter
Officialalehpeter Officialalehpeter
  • 14-02-2020

Answer:

x = [tex]\frac{a}{(b^{2} +1 )}[/tex]

Step-by-step explanation:

[tex]\sqrt{\frac{a-x}{x}[/tex]  = b

square both sides

[tex]\frac{a-x}{x}[/tex] = [tex]b^{2}[/tex]

cross multiply

[tex]b^{2} x[/tex] = a - x

collect like terms

[tex]b^{2} x[/tex] + x = a

x( [tex]b^{2}[/tex] +1 ) = a

x = [tex]\frac{a}{(b^{2} +1 )}[/tex]

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