Solve the following equation by first doing a substitution to make it a quadratic.
3x^-2 + x^-1 -24=0
The SIMPLE substitution: Let
Then , and becomes:
------ Repalacing a, with 9a - 8a
3a(a + 3) - 8(a + 3) = 0
(a + 3)(3a - 8) = 0
------- Substituting back
------ Raising each side to the - 1 power
Substitute this value for x () into the original equation. If this value satisfies the original equation, then is a solution to the equation.
This value for x DOES SATISFY the equation.
------- Substituting back
------ Raising each side to the - 1 power
Substitute this value for x () into the original equation. If this value satisfies the original equation, then is a solution to the equation.
This value for x DOES SATISFY the equation.