solve:t - sqrt(6t - 9) = 0
a) none or 0
b) (-3,3)
c) (3)
d) (-3)
c
t = sqrt(6t-9)
t^2 = 6 t - 9
t^2 -6t+9 = 0
(t-3)(t-3) = 0
t = 3
thanks damon :)
To solve the equation t - √(6t - 9) = 0, we need to isolate the variable t on one side of the equation. Here's how you can solve it step by step:
1. Add √(6t - 9) to both sides of the equation:
t - √(6t - 9) + √(6t - 9) = 0 + √(6t - 9)
This simplifies to: t = √(6t - 9)
2. Square both sides of the equation to eliminate the square root:
(t)^2 = (√(6t - 9))^2
This simplifies to: t^2 = 6t - 9
3. Rearrange the equation to form a quadratic equation by moving all terms to one side:
t^2 - 6t + 9 = 0
4. Factor the quadratic equation:
(t - 3)(t - 3) = 0
This simplifies to: (t - 3)^2 = 0
5. Take the square root of both sides:
√((t - 3)^2) = √0
This gives you: t - 3 = 0
6. Solve for t:
t = 3
Therefore, the solution to the equation t - √(6t - 9) = 0 is t = 3.