Question

Can you help me with my work

Answer 1

Answer:

1. 9 or -9

2. 3.6  or  -3.6

3. 12 and -12

4. The quadratic function has no real roots.

Step-by-step explanation:

1. Solve x² -81 = 0

x² -81 = 0

x² = 81

x = ±√81

x = 9      or   x = -9

2. solve 2x² - 26 = 0

 2x² - 26 = 0

2x² = 26

x² = 13

x = ±√13

∴ x = 3.6      or    x = -3.6

3. f(x) = x² - 144

let f(x) = 0

x² - 144 = 0

x² = 144

x = ±√144

x = 12   and  x = -12

4. f(x) = x² + 25

let f(x) = 0

x² + 25 = 0

x² = -25

x = ±√(-25)

There is no square root of a negative number. Its square is not a real number.