Where does the graph of x2 - x - 2 = y cross the x-axis?
In google type:
"quadratic equation online"
When you see list of result click on:
webgraphingcom/quadraticequation_quadraticformula.jsp
When this page be open in rectacangle type:
x^2-x-2=0
and click option solve it!
You will see solutions of this equation Step-by-step
Then in google type "functions graphs online"
When you see list of results click on:
rechneronline.de/function-graphs/
When page be open in blue rectacangle type: x^2 -x -2
and click option Draw
You will see graph of function.
By the way solutions is: x= -1 and x=2
To find where the graph of the equation x^2 - x - 2 = y crosses the x-axis, we need to find the values of x when y equals zero.
Step 1: Set y = 0 in the equation: x^2 - x - 2 = 0.
Step 2: Solve the quadratic equation for x. There are several methods to solve quadratics, such as factoring, completing the square, or using the quadratic formula. Let's use the quadratic formula:
x = (-b ± √(b^2 - 4ac)) / (2a)
For the equation x^2 - x - 2 = 0, a = 1, b = -1, and c = -2.
Plugging the values into the quadratic formula, we get:
x = (-(-1) ± √((-1)^2 - 4(1)(-2))) / (2(1))
Simplifying further:
x = (1 ± √(1 + 8)) / 2
x = (1 ± √9) / 2
Step 3: Evaluate the two possible solutions for x:
x1 = (1 + √9) / 2 = (1 + 3) / 2 = 4 / 2 = 2
x2 = (1 - √9) / 2 = (1 - 3) / 2 = -2 / 2 = -1
Therefore, the graph of the equation x^2 - x - 2 = y crosses the x-axis at x = 2 and x = -1.
To find where the graph of the equation x^2 - x - 2 = y crosses the x-axis, we need to solve the equation for the values of x where y is equal to zero. In other words, we need to find the x-intercepts of the graph.
The equation x^2 - x - 2 = y can be rewritten as x^2 - x - 2 = 0 by setting y equal to zero.
To solve this quadratic equation, we can factor it or use the quadratic formula. Let's use factoring in this case:
x^2 - x - 2 = 0
The equation can be factored as:
(x - 2)(x + 1) = 0
Setting each factor to zero gives us:
x - 2 = 0 or x + 1 = 0
Solving these equations gives us the two x-values where the graph crosses the x-axis:
x = 2 or x = -1
Therefore, the graph of x^2 - x - 2 = y crosses the x-axis at x = 2 and x = -1.
Factor
x^2 -x -2 = 0
for the answer.