Question

- 6 + \sqrt{9 - 8a} = 1−6+
9−8a
​
=1​

Answer 1

`a = -5`

Explanation:

Given

`- 6 + √(9 - 8a) = 1`

Required

Solve for a

`- 6 + √(9 - 8a) = 1`

Add 6 to both sides

`6- 6 + √(9 - 8a) = 1+6`

`√(9 - 8a) = 7`

Square both sides

`( √(9 - 8a))^2 = 7^2`

`9 - 8a = 49`

Subtract 9 from both sides

`9-9 - 8a = 49-9`

`- 8a = 40`

Make a the subject

`a = -(40)/(8)`

`a = -5`