Answer:
[tex]a = -5[/tex]
Step-by-step explanation:
Given
[tex]- 6 + \sqrt{9 - 8a} = 1[/tex]
Required
Solve for a
[tex]- 6 + \sqrt{9 - 8a} = 1[/tex]
Add 6 to both sides
[tex]6- 6 + \sqrt{9 - 8a} = 1+6[/tex]
[tex]\sqrt{9 - 8a} = 7[/tex]
Square both sides
[tex]( \sqrt{9 - 8a})^2 = 7^2[/tex]
[tex]9 - 8a = 49[/tex]
Subtract 9 from both sides
[tex]9-9 - 8a = 49-9[/tex]
[tex]- 8a = 40[/tex]
Make a the subject
[tex]a = -\frac{40}{8}[/tex]
[tex]a = -5[/tex]
