carlinmartin carlinmartin
  • 21-11-2019
  • Mathematics
contestada

how to solve:

-8 + square root of (5a-5) = -3

Respuesta :

jitumahi456 jitumahi456
  • 28-11-2019

Answer:

[tex]a=6[/tex]

Step-by-step explanation:

[tex]-8+\sqrt{(5a-5)}=-3[/tex]

Adding 8 both sides.

[tex]8-8+\sqrt{(5a-5)}=-3+8[/tex]

[tex]\sqrt{(5a-5)}=5[/tex]

Squaring both sides.

[tex](\sqrt{(5a-5)})^2=5^2[/tex]

[tex]5a-5=25[/tex]

Adding 5 both side.

[tex]5a-5+5=25+5[/tex]

[tex]5a=30[/tex]

Dividing by 5 both sides.

[tex]\frac{5a}{5}=\frac{30}{5}[/tex]

∴ [tex]a=6[/tex]

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