Answer:
1) 5 2) 6 3) 1.25 or -1.75
Step-by-step explanation:
1. x^2 - 25 = 0
x^2 - 25 = 0
First, add 25 to both sides!
x^2 = 25
Now square root both sides.
x = 5
2. (x-2)^2 = 16
First, square root both sides.
(x-2) = 4
Add 2 on both sides.
(x) = 6
x = 6
3. Quadratic Formula = -b ± [tex]\sqrt{b^{2}-4ac } [/tex] / 2a
Substitute in:
-6 ±[tex]\sqrt{7^{2} -4(2)(6)} [/tex] / 2(2)
-6±[tex]\sqrt{49 - 48} [/tex] / 4
Both forms:
-6 + [tex]\sqrt{1} [/tex] / 4
5 / 4 = 1.25
Negative:
-6 - 1 / 4
-7 / 4 = -1.75
