SOLUTION: Good morning everyone, I need to find the x and y intercepts of the equation: x^2-6x+5 Thank you Gina

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: Good morning everyone, I need to find the x and y intercepts of the equation: x^2-6x+5 Thank you Gina      Log On


   

Question 461279: Good morning everyone,
I need to find the x and y intercepts of the equation:
x^2-6x+5
Thank you
Gina
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!

y=x%5E2-6x%2B5.....set y=0 to find x-intercept

0=x%5E2-6x%2B5....use quadratic formula
x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+
x+=+%28-%28-6%29+%2B-+sqrt%28+%28-6%29%5E2-4%2A1%2A5+%29%29%2F%282%2A1%29+
x+=+%286+%2B-+sqrt%28+36-20+%29%29%2F2+
x+=+%286+%2B-+sqrt%28+16+%29%29%2F2+
x+=+%286+%2B-+4%29%2F2+
x+=+%286+%2B+4%29%2F2+
x+=+10%2F2+
x+=+5+....first x-intercept

x+=+%286+-4%29%2F2+
x+=+2%2F2+
x+=+1+......second x-intercept

now, set x=0 and find y-intercept

y=0%5E2-6%2A0%2B5
y=5..........y-intercept

let's see it on a graph:
+graph%28+500%2C+500%2C+-10%2C+10%2C+-10%2C+10%2Cx%5E2-6x%2B5%29+