Solving x in Equation: x-b(x2-1)b/2 = a

  • Thread starter sara_87
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In summary, the conversation is about making x the subject in the equation x-b(x2-1)b/2 = a and the attempt at a solution involves powering both sides by -1/b. The final solution is x = +/-[1-a2/b]-1/2.
  • #1
sara_87
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Homework Statement



I made x the subject and i want to make sure i did it correctly

x-b(x2-1)b/2 = a

Homework Equations





The Attempt at a Solution



power both sides by -1/b

x(x2-1)-1/2 = (a)-1/b

(1-x-2)-1/2 = a-1/b

x-2 = 1-a2/b

x = [1-a2/b]-1/2

thank you
 
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  • #2
sara_87 said:

Homework Statement



I made x the subject and i want to make sure i did it correctly

x-b(x2-1)b/2 = a

Homework Equations





The Attempt at a Solution



power both sides by -1/b

x(x2-1)-1/2 = (a)-1/b

(1-x-2)-1/2 = a-1/b

x-2 = 1-a2/b

x = [1-a2/b]-1/2

thank you
You should have x = +/-[1-a2/b]-1/2
Other than that, it looks fine.
 

Related to Solving x in Equation: x-b(x2-1)b/2 = a

1. What is the equation trying to solve for?

The equation is trying to solve for the value of x.

2. What do the variables a and b represent?

The variable a represents a constant or coefficient, while b represents the coefficient of the quadratic term in the equation.

3. How do you solve for x in this equation?

To solve for x, we can use algebraic manipulation to isolate x on one side of the equation. This may involve factoring, using the quadratic formula, or other methods depending on the specific equation.

4. What if the equation has multiple solutions for x?

If the equation has multiple solutions for x, it means that there are multiple values of x that satisfy the equation. In this case, we can use the solutions to find the roots of the equation and determine the points where the equation crosses the x-axis.

5. Can this equation be solved without using algebraic methods?

No, this equation cannot be solved without using algebraic methods. Since it is a quadratic equation, it cannot be solved with basic arithmetic operations. However, there are online calculators and computer programs that can solve these types of equations for you.

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