Solve using the Square Root Property 10x^2=x^4+25

Subtract from both sides of the equation.
Move to the left side of the equation by subtracting it from both sides.
Factor the left side of the equation.
Factor out of .
Reorder and .
Factor out of .
Factor out of .
Rewrite as .
Factor out of .
Factor out of .
Rewrite as .
Let . Substitute for all occurrences of .
Factor using the perfect square rule.
Rewrite as .
Check the middle term by multiplying and compare this result with the middle term in the original expression.
Simplify.
Factor using the perfect square trinomial rule , where and .
Replace all occurrences of with .
Multiply each term in by
Multiply each term in by .
Multiply .
Multiply by .
Multiply by .
Multiply by .
Set the equal to .
Solve for .
Add to both sides of the equation.
Take the square root of both sides of the equation to eliminate the exponent on the left side.
The complete solution is the result of both the positive and negative portions of the solution.
First, use the positive value of the to find the first solution.
Next, use the negative value of the to find the second solution.
The complete solution is the result of both the positive and negative portions of the solution.
The result can be shown in multiple forms.
Exact Form:
Decimal Form:
Solve using the Square Root Property 10x^2=x^4+25

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