X² - 8x = -10
to have a complete square, we must have this format:
a² + 2ab + b²
a² = x²
2ab = -8x ⇒ 2(x)(-4)
b² = -4² = 16
x² - 8x + 16 = -10 + 16
x² - 8x + 16 = +6
(x-4)² - 6 = 0
Both sides must have an additional value of 16.
Answer:
n=13
Step-by-step explanation:
because you can do inverse method 16-3 equal 13
F(x) = 1/2x +4
replace f(x) with y
y = 1/2x+4
switch x and y
x = 1/2y +4
solve for y
multiply both sides by 2
2x = y+8
subtract 8 from both sides
2x-8 = y
rewrite with y on the left side: y = 2x-8
replace y with f(x)^-1 (inverse notation)
f(x)^-1 = 2x-8
solve for f^-1(4)
replace x with 4 in the equation and solve:
2(4) -8 = 8-8 = 0
Answer:
224.75
Step-by-step explanation:
2|3x - 4| + 8 = 6 |subtract 8 from both sides
2|3x - 4| = -2 |divide both sides by 2
|3x - 4| = -1 FALS because for any number x: |x| ≥ 0
Answer: No solution ( x ∈ ∅)