Question

At how many points does the graph of the function below intersect the x-axis? y = 2x^2 - 7x + 7

Answer 1

Graph will not interesct bcz equation doesn't have x intercept.

Answer 2

0

No such point on graph.

Explanation:

Given:
`y=2x^2-7x+7`

We are given quadratic equation. We need to find number of points where it cuts x-axis.

When graph cuts x-axis their y-value is 0

We will set the equation to 0 and solve for x

`2x^2-7x+7=0`

Using quadratic formula.

`x=(-b\pm√(b^2-4ac))/(2a)`

where, a=2 , b=-7 , c=7

`x=(7\pm√(49-56))/(2(2))`

`x=(7\pm √(-7))/(4)`

`x=(7\pm i√(7))/(4)`

The value of x is imaginary. So, y will not cut x-axis any any point.

Hence, No such point on graph which cut x-axis.