Find the x-intercepts. y= x^2 - 7x + 7?

Question

Find the x-intercepts. y= x^2 - 7x + 7

Can someone show me the steps to doing this problem?

Answer 1

because of the fact the X-axis has a pair (x,y) with y=0 it somewhat is each and all the dots on the axis have a pair (x,0). with the intention to uncover the respond you definetly could have Y=0 because of the fact in basic terms then will the interception be on the x-axis. so because of the fact of which you are going to choose "y=0" and "y=x^2 +7x +4" so once you combine you have 0=x^2 +7x +4 while resolved with the quadratic formula (you've none, one or 2 solutions) as a effect we've 2 answer for the x area of the pair (x,y) (bear in ideas all of us understand y=0) so the 1st answer is x1= -6.36 the 2d answer is x2= -0.06 the element the place it somewhat is intercepted are (-6.36,0) and (-0.06,0) because of the fact Y=0 for each and all the dots on the x-axis

Answer 2

For x intercepts set y = 0

0 = x^2 - 7x + 7
x = [7 +/- sq.root(49 - 28)]/2
x = [7 +/- sq.root(21)]/2

Answer 3

x intercepts are where the curve cuts the x axis where the y coordinates will be zero
so setting y=0
x^2-7x+7=0
x=[7+/-rt49-28)]/2
=(7+rt21)/2 and (7-rt21)/2
so the x interceptsare
(0,(7+rt21)/2);(0,(7-rt21)/2)

Answer 4

to find the X intercepts u need to set Y equal to zero.

1) 0 = x^2 - 7x + 7

2) now you use the quadradic equation -B +/- [(the sqaure root of) B^2 - 4AC] / 2A

3) 7 +/- [(the square root of) 49 - 28]/ 14

4) 7 +/- [the square root of 21]/14

and thats ur answer

Answer 5

the x-interecepts are the same as the "solutions" which are the same as the "zeroes" which are the same as how it can be factored down. You can factor it into (x+7)(x-1)=0

From that you can divide both sides by (x+7) and get x-1=0
You can also divide both sides by x-1 to get x+7=0

So x= 1 and x= -7 are the two solutions

Answer 6

when y=0
0=x^2 - 7x + 7
use quad formula
x= 1.2087 and 5.7912

Answer 7

x^2 - 7x + 7 = 0

x = (-b ± sqrt(b^2 - 4ac))/(2a)

x = (-(-7) ± sqrt((-7)^2 - 4(1)(7)))/(2(1))
x = (7 ± sqrt(49 - 28))/2
x = (7 ± sqrt(21))/2

x = (1/2)(7 ± sqrt(21))