AI generatedAlgebraGCSE Higher

Rearranging an equation for iteration

Isolate in the requested form.

  • State the equation before solving it.
  • Follow the operation labels between lines. Apply the same operation to both sides.
  • Substitute the answer into the original equation to check that both sides agree.

Example 1

Rearrange into a square-root iteration for the positive root.

Take the positive square root because the positive root is requested.Replace on the left by the next estimate, and on the right by the current estimate. Only use this iteration when the radicand is non-negative; rearrangement alone does not guarantee convergence.

Example 2

Rearrange into a square-root iteration for the positive root.

Take the positive square root because the positive root is requested.Replace on the left by the next estimate, and on the right by the current estimate. Only use this iteration when the radicand is non-negative; rearrangement alone does not guarantee convergence.

Your turn

Question 1

Rearrange into a square-root iteration for the positive root.

Check answer
Take the positive square root because the positive root is requested.Replace on the left by the next estimate, and on the right by the current estimate. Only use this iteration when the radicand is non-negative; rearrangement alone does not guarantee convergence.
Question 2

Rearrange into a square-root iteration for the positive root.

Check answer
Take the positive square root because the positive root is requested.Replace on the left by the next estimate, and on the right by the current estimate. Only use this iteration when the radicand is non-negative; rearrangement alone does not guarantee convergence.
Question 3

Rearrange into a square-root iteration for the positive root.

Check answer
Take the positive square root because the positive root is requested.Replace on the left by the next estimate, and on the right by the current estimate. Only use this iteration when the radicand is non-negative; rearrangement alone does not guarantee convergence.
Question 4

Rearrange into a square-root iteration for the positive root.

Check answer
Take the positive square root because the positive root is requested.Replace on the left by the next estimate, and on the right by the current estimate. Only use this iteration when the radicand is non-negative; rearrangement alone does not guarantee convergence.
Question 5

Rearrange into a square-root iteration for the positive root.

Check answer
Take the positive square root because the positive root is requested.Replace on the left by the next estimate, and on the right by the current estimate. Only use this iteration when the radicand is non-negative; rearrangement alone does not guarantee convergence.
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