Use the zero product property to find the solutions to the equation x² - 13x + 30 = 0.

Solution:

Zero product property, also known as zero product principle states that if p × q = 0 ,

then p = 0 or q = 0 or both p = 0 and q = 0 .

x² - 13x + 30 = 0 [Given]

By splitting the middle term

x² - 10x - 3x + 30 = 0

Taking out the common terms

x (x - 10) - 3 (x - 10) = 0

So we get

(x - 10) (x - 3) = 0

Here

x - 10 = 0 or x - 3 = 0

x = 10 or 3

Therefore, the solution is 10 or 3.

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Use the zero product property to find the solutions to the equation x² - 13x + 30 = 0.

Summary:

Using the zero product property, the solutions to the equation x² - 13x + 30 = 0 is 10 or 3.