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  • 11-11-2020
  • Mathematics
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(c) What is the value of p if 4x² + 20x + p is a
perfect square​

Respuesta :

hnori22003
hnori22003 hnori22003
  • 11-11-2020

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

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[tex]4 {x}^{2} + 20x + p = [/tex]

[tex]( {2x})^{2} + 2(2x)(5) + p = [/tex]

Thus ;

[tex]p = {5}^{2} [/tex]

So

[tex]p = 25[/tex]

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