Transparencia de mi clase de Cálculo diferencial.

1. Day 3
1. Opener
The difference of two numbers is 7 and the sum multiplied
by the smaller number is equal to 184. Find both numbers.

2. 2. Quadratic Formula
If ax2 +bx + c = 0 and a ≠ 0, then
2
−b ± b − 4ac
x=
2a

3. 3. Operations with fractions.
Examples:
2 2
1 1 a +b
a) 2 + − 3 3
a − ab ab a b − ab

4. 3. Operations with fractions.
Examples:
2 2
1 1 a +b
a) 2 + − 3 3
a − ab ab a b − ab
2 2
a − 3 a + 9a + 20 a − 16
b) × 2 ÷ 2
4a − 4 a − 6a + 9 2a − 2a

5. 4. Rationalize the denominator.

6. 4. Rationalize the denominator.
Rationalising the denominator is when you move a
root (like a square root or cube root) from the bottom
of a fraction to the top.

7. 4. Rationalize the denominator.
Rationalising the denominator is when you move a
root (like a square root or cube root) from the bottom
of a fraction to the top.
1
2

8. 4. Rationalize the denominator.
Rationalising the denominator is when you move a
root (like a square root or cube root) from the bottom
of a fraction to the top.
1
2

9. 4. Rationalize the denominator.
Rationalising the denominator is when you move a
root (like a square root or cube root) from the bottom
of a fraction to the top.
1 2
2 2

10. 4. Rationalize the denominator.
Examples:
Rationalize the denominator of
2+ 3
8− 3

11. 4. Rationalize the denominator.
Examples:
Rationalize the denominator of
2+ 3
8− 3
Rationalize and simplify

12. 4. Rationalize the denominator.
Examples:
Rationalize the denominator of
2+ 3
8− 3
Rationalize and simplify
a +1
1+ a + 1