Respuesta :
Answer:
The positive zero is 11
Step-by-step explanation:
Given in the question an equation,
f(x) =x² - 121
We are asked to find the positive zero of f(x)
means x > 0 for which f(x) = 0
so,
x² - 121 = 0
x² = 121
Take square root on both sides of the equation
√x² = √121
x = ±11
which means that x = 11 and x = -11
Since x > 0 so we will reject x =-11 and we will accept x = 11
Answer: 11
Step-by-step explanation:
You need to substitute [tex]f(x)=0[/tex] into the function given:
[tex]f(x) =x^2-121\\0 =x^2-121[/tex]
Now you need to solve for the variable "x", to do this, first you must add 121 to both sides of the function:
[tex](121)+0=x^2-121+(121)\\121=x^2[/tex]
Now apply square root to both sides of the function. Then, you get:
[tex]\±\sqrt{121}=\±\sqrt{x^2}\\\\\±\sqrt{121}=x\\\\x_1=11\\x_1=-11[/tex]
The value of the positive zero of the function is 11.