shon9416 shon9416
  • 10-07-2019
  • Mathematics
contestada

Which of the following are solutions to the equation below. Check all that apply

Which of the following are solutions to the equation below Check all that apply class=

Respuesta :

smmwaite
smmwaite smmwaite
  • 10-07-2019

Answer:

B. -2√2 - 5

C. 2√2 - 5

Step-by-step explanation:

The left side of the equation is already a perfect square.

Let us factorize it first.

x²+10x+25=8

x(x+5)+x(x+5)=8

(x+5)²=8

Let us take the square roots of both sides.

x+5=±√8

But √8=±2√2

Therefore in surd form, the two solutions become:

x+5=2√2 or x+5=-2√2

Therefore x= 2√2-5 and -2√2+-5

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