I assume the equation is
√(2x - 5) - √(x + 6) = 0
Note the domains for the root expressions:
• √(2x - 5) : 2x - 5 ≥ 0 ⇒ x ≥ 5/2
• √(x + 6) : x + 6 ≥ 0 ⇒ x ≥ -6
So any valid solution we find must be at least 5/2.
Move one term to the other side.
√(2x - 5) = √(x + 6)
Take squares.
(√(2x - 5))² = (√(x + 6))²
2x - 5 = x + 6
Solve for x :
x = 11
x^2 + 2x x^2 - 4
------------------- - --------------------
x^2 - 2x - 8 x^2 - 2x - 8
x(x + 2) - (x+2)(x-2)
= --------------------------------------
(x + 2)(x - 4)
(x + 2) ( x - x + 2)
= --------------------------------------
(x + 2)(x - 4)
2
= ------------
(x - 4)
x is NOT equal -2 and 4
Answer:
a=360
Step-by-step explanation:
3600 divided by 10 is 360
