Find the x and y Intercepts y=x^2-6x+5

Problem

y=x2−6*x+5

Solution

1. Find the y-intercept by setting x=0 in the equation.

y=0−6*(0)+5

y=5

2. Find the x-intercepts by setting y=0 and solving the resulting quadratic equation.

0=x2−6*x+5

3. Factor the quadratic expression to find the roots.

0=(x−5)*(x−1)

4. Solve for x by setting each factor equal to zero.

x−5=0⇒x=5

x−1=0⇒x=1

Final Answer

x-intercepts: *(1,0),(5,0); y-intercept: *(0,5)

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