what are the x-intercepts of the graph of the following equation: y=x squared-5x -14
& what are the x intercepts of this Y= X SQUARED - 3x-4
0 = x^2 - 5x -14
0 = (x-7)(x+2)
x = 7 or -2
0 = x^2 -3x - 4
0 = (x-4)(x+1)
x = 4 or -1
Thank uuu!
To find the x-intercepts of a graph, we need to set y equal to zero and solve for x.
For the equation y = x^2 - 5x - 14:
Step 1: Set y equal to zero:
0 = x^2 - 5x - 14
Step 2: Factor the quadratic equation or use the quadratic formula to find the roots:
To factor, we need to find two numbers that multiply to -14 and add up to -5. The two numbers are -7 and 2.
0 = (x + 2)(x - 7)
Step 3: Set each factor equal to zero and solve for x:
x + 2 = 0 or x - 7 = 0
x = -2 or x = 7
Therefore, the x-intercepts of the graph of the equation y = x^2 - 5x - 14 are x = -2 and x = 7.
For the equation y = x^2 - 3x - 4:
Step 1: Set y equal to zero:
0 = x^2 - 3x - 4
Step 2: Factor the quadratic equation or use the quadratic formula to find the roots:
To factor, we need to find two numbers that multiply to -4 and add up to -3. The two numbers are -4 and 1.
0 = (x - 4)(x + 1)
Step 3: Set each factor equal to zero and solve for x:
x - 4 = 0 or x + 1 = 0
x = 4 or x = -1
Therefore, the x-intercepts of the graph of the equation y = x^2 - 3x - 4 are x = 4 and x = -1.
To find the x-intercepts of a graph, you need to determine the values of x when y equals 0. This means that you are solving for the roots of the equation.
For the equation y = x^2 - 5x - 14, you can set y to 0:
0 = x^2 - 5x - 14
Now you have a quadratic equation that can be factored, or you can use the quadratic formula. Let's solve it by factoring:
0 = (x - 7)(x + 2)
To find the x-intercepts, you need to find the values of x when the equation equals zero. Therefore, you set each factor equal to zero:
x - 7 = 0 or x + 2 = 0
Solving these equations gives you:
x = 7 or x = -2
Hence, the x-intercepts of the graph for the equation y = x^2 - 5x - 14 are x = 7 and x = -2.
Similarly, for the equation y = x^2 - 3x - 4, we set y to 0:
0 = x^2 - 3x - 4
Again, we can factor or use the quadratic formula. Factoring gives:
0 = (x - 4)(x + 1)
Setting each factor equal to zero:
x - 4 = 0 or x + 1 = 0
Solving these equations gives:
x = 4 or x = -1
Therefore, the x-intercepts of the graph for the equation y = x^2 - 3x - 4 are x = 4 and x = -1.