jadeen jadeen
  • 15-08-2017
  • Mathematics
contestada

Find all the real zeros of the function.

Find all the real zeros of the function class=

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twvogels
twvogels twvogels
  • 15-08-2017
For the expression as a whole to equal zero, any of the three terms could equal zero ie:

[tex]-2x=0[/tex] or [tex]x-2=0[/tex] or [tex]x^{2}-25=0[/tex]

We can find one zero by solving each in turn:

[tex]-2x=0[/tex]
[tex]x=0[/tex]

[tex]x-2=0[/tex]
[tex]x=2[/tex]

[tex]x^{2}-25=0[/tex]
[tex]x^{2}=25[/tex]
[tex]x=\sqrt{25}=5[/tex]

The zeros are 0,2 and 5.

To check, plug back into the original equation and verify that f(x)=0. 
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