Question

solve the quadratic equation.
( x^2 - 5x + 6 = 0 )
write one exact, simplified solution in each box. you can add or remove boxes. if a solution is not a real number, write it in the form ( a + bi ) or ( a - bi ), where ( a ) and ( b ) are real numbers.

Explanation:

Step1: Factor the quadratic

We factor \(x^2 - 5x + 6\). We need two numbers that multiply to \(6\) and add to \(-5\). Those numbers are \(-2\) and \(-3\). So, \(x^2 - 5x + 6=(x - 2)(x - 3)\).

Step2: Solve for \(x\)

Set each factor equal to zero:

• For \(x - 2 = 0\), we get \(x = 2\).
• For \(x - 3 = 0\), we get \(x = 3\).

Answer:

\(2\), \(3\)