Answer:

Step-by-step explanation:
For the quadratic equation
the discriminant is defined as

and the quadratic formula for the roots gives us two roots:

and

For the equation
use quadratic formula to find roots:

So,

Answer:
161
Step-by-step explanation:
Given the functions
f (x) = 2x^2 – 1
g(x) = 3x
we are to find f(g(3))
First look for the composite function f(g(x))
f(g(x)) = f(3x)
f(3x) = 2(3x)² - 1
f(3x) = 2*9x² - 1
f(3x) = 18x² - 1
f(g(x)) = 18x² - 1
Substitute x = 3 into the result
f(g(3)) = 18(3)² - 1
f(g(3)) = 18*9- 1
f(g(3)) = 162-1
f(g(3)) = 161
Hence f(g(3)) is 161
Answer:
The solution to this question is 11.
Step-by-step explanation:
Given that
√(2x-5) - √(x+6) = 0
√(2x-5) =√(x+6) equation (1)
square of the equation (1)
(√(2x-5))^2 =(√(x+6))^2
we know that √a*√a=(√a)^2=a.So
2x-5=x+6 after square.
2x-x=6+5 exchange value
x=11