Question

solve for h.
\\( h^2 - 17h = 0 \\)
write each solution as an integer, proper fraction, or improper fraction in simplest form. if there are multiple solutions, separate them with commas.
\\( h = \square \\)

Explanation:

Step1: Factor the equation

Factor out \( h \) from the left - hand side of the equation \( h^{2}-17h = 0 \). We get \( h(h - 17)=0 \).

Step2: Apply the zero - product property

The zero - product property states that if \( ab = 0 \), then either \( a = 0 \) or \( b = 0 \) (or both). So, for \( h(h - 17)=0 \), we have two cases:

• Case 1: \( h=0 \)
• Case 2: \( h - 17=0 \), which implies \( h = 17 \) when we add 17 to both sides of the equation.

Answer:

\( 0,17 \)