Question Video: Solving Quadratic Equations by Factorization | Nagwa Question Video: Solving Quadratic Equations by Factorization | Nagwa

# Question Video: Solving Quadratic Equations by Factorization Mathematics

Find the solution set of the equation 4/π₯ = π₯/9.

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### Video Transcript

Find the solution set of the equation four divided by π₯ equals π₯ divided by nine.

If we have a fraction equal to another fraction, we can cross-multiply and solve. So we begin by taking π₯ times π₯ and then setting it equal to four times nine. π₯ times π₯ is equal to π₯ squared, and four times nine is equal to 36.

Now in order to solve for π₯, we need to square-root both sides of the equation. The square root of π₯ squared is π₯, and the square root of 36 is positive six. But itβs also equal to negative six, because six squared is equal to 36 and negative six squared is equal to 36. Therefore, our solution set will be six and negative six.

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