becca2877
becca2877 becca2877
  • 26-11-2019
  • Mathematics
contestada

ng the Zero Product Property
Warm-Up
Which are solutions of the equation (x + 5)(x-3) = 0?

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carlosego
carlosego carlosego
  • 01-12-2019

For this case we have a factorized quadratic equation. We equal each factor to zero and thus find the roots:

[tex]x + 5 = 0[/tex]

Subtracting 5 from both sides we have:

[tex]x = -5[/tex]

Thus, the first solution of the equation is:

[tex]x_ {1} = - 5[/tex]

On the other hand we have:

[tex]x-3 = 0[/tex]

Adding 3 to both sides:

[tex]x = 3[/tex]

Thus, the second solution of the equation is:

[tex]x_ {2} = 3[/tex]

Answer:

The solutions of the equation are:

[tex]x_ {1} = - 5\\x_ {2} = 3[/tex]

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