Respuesta :
The values of x for which the function is equal to zero are;
- x = 10
- x= 3
Zero of a Function
This is determined by by finding the x-values that's make the polynomial equal zero.
To determine this, we have to solve for the quadratic equation.
[tex]y=x^2-13x+30[/tex]
Quadratic formula
Using quadratic formula
[tex]x = \frac{-b+- \sqrt{b^2 - 4ac} }{2a} \\[/tex]
Let's get the variable in the equation.
[tex]a = 1, b = -13, c = 30[/tex]
substituting the values into the equation;
[tex]x = \frac{-b+-\sqrt{b^2 - 4ac} }{2a} \\x = \frac{-(-13)+-\sqrt{(-13)^2-4*1*30} }{2(1)}\\x = \frac{13+7}{2}\\ x = 10 \\or\\x = \frac{6}{2}\\ x = 3[/tex]
The values of x that will make the function equal zero are 10 and 3
Let's plug this into the equation and solve
for x = 10
[tex]y = x^2-13x+30\\y = (10)^2-13(10)+30\\y = 100-130+30\\y = 0[/tex]
For x = 3
[tex]y = x^2 - 13x + 30\\y = (3)^2-13(3) + 30\\y = 0[/tex]
From the calculations above, the values of x for which the function is equal to zero are;
- x = 10
- x= 3
Learn more on functions of polynomials here;
https://brainly.com/question/24380382
