Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

solve. (u - 9)(u - 4) = 0 (if there is more than one solution, sep

Question

solve.
(u - 9)(u - 4) = 0
(if there is more than one solution, sep

Explanation:

Step1: Apply zero - product property

The zero - product property states that if \(ab = 0\), then either \(a=0\) or \(b = 0\) (or both). For the equation \((u - 9)(u - 4)=0\), we set each factor equal to zero.
First, set \(u-9 = 0\).

Step2: Solve \(u - 9=0\)

To solve for \(u\), we add 9 to both sides of the equation \(u-9 = 0\). So, \(u=9\).

Step3: Set the second factor equal to zero

Next, set \(u - 4=0\).

Step4: Solve \(u - 4=0\)

To solve for \(u\), we add 4 to both sides of the equation \(u - 4=0\). So, \(u = 4\).

Answer:

\(u = 4,9\)