Question

solve for w.
$w^2 - 5w + 4 = 0$
if there is more than one solution, separate them with commas
if there is no solution, click on
o solution\.

Explanation:

Step1: Factor the quadratic equation

We need to find two numbers that multiply to \(4\) and add up to \(-5\). The numbers are \(-1\) and \(-4\). So we can factor the equation as:
\(w^{2}-5w + 4=(w - 1)(w - 4)=0\)

Step2: Solve for \(w\)

Using the zero - product property, if \((w - 1)(w - 4)=0\), then either \(w-1 = 0\) or \(w - 4=0\).

• For \(w-1=0\), we add \(1\) to both sides of the equation: \(w=1\).
• For \(w - 4=0\), we add \(4\) to both sides of the equation: \(w = 4\).

Answer:

\(1,4\)