SOLUTION: Find the x-intercepts and y intercepts for f(x) f(x)=x^2-8x+11 I dont know is this is correct, i got the x intercepts are (4(+-) sqrt5/2,0)

Question 155620: Find the x-intercepts and y intercepts for f(x)
f(x)=x^2-8x+11
I dont know is this is correct, i got the x intercepts are (4(+-) sqrt5/2,0)

Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!

X-Intercept(s)

Start with the given function

Plug in

Notice we have a quadratic equation in the form of where , , and

Let's use the quadratic formula to solve for x

Start with the quadratic formula

Plug in , , and

Negate to get .

Square to get .

Multiply to get

Subtract from to get

Multiply and to get .

Simplify the square root (note: If you need help with simplifying square roots, check out this solver)

Break up the fraction.

Reduce.

or Break up the "plus/minus"

So the answers are or

which approximate to or

So the x-intercepts are

and

which in decimal form is (6.236,0) and (1.764)

Y-Intercept

Start with the given equation.

Plug in .

Square to get .

Multiply and to get .

Multiply and to get .

Combine like terms.

So the y-intercept is (0,11)
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