Part 20

K = (1/2) bh K = bh K = (a^2)/4 3^(1/2) K = (1/2) (b + b') h K = R^2 C = 2 R K = R L S = 4 R^2 V = R^2 H V = (1/3) R^2 H V = (4/3) R^3 S = ( R^2 E)/(180) C/(C') = R/(R') K/(K') = (R^2)/(R'^2)

PHYSICS

v = gt s = (1/2) gt^2 s = (v^2)/(2g) C = E/R E = (wv^2)/(2g) e = (4Pl^3)/(bh^3 m) E = (mv^2)/(2) t = [l/g]^(1/2) F = (mV^2)/(r) mh = (mv^2)/(2g) R = gs/(g + s) E = (4n^2l^2w)/(g) C = (5/9)(F - 32)

QUADRATIC EQUATIONS

1. Define a quadratic equation; a pure quadratic; an affected (or complete) quadratic; an equation in the quadratic form.

2. Solve the pure quadratic (7)/(3S^2) - (11)/(9S^2) = 5/6.

Review the first (or usual) method of completing the square. Solve by it the following:

3. x^2 + 10x = 24.

4. 2x^2 - 5x = 7.

5. (x - 1)/2 + 2/(x - 1) = 2-1/2.

6. ax^2 + bx + c = 0.

Review the solution by factoring. Solve by it the following:

7. x^2 + 8x + 7 = 0.

8. 24x^2 = 2x + 15.

9. 3 = 10x - 3x^2.

10. -7 = 6x - x^2.

Solve, by factoring, these equations, which are not quadratics:

11. x^4 = 16.

12. x^3 = 8.

13. x^3 = x.

Review the solution by formula. Solve by it the following:

14. 5x^2 - 6x = 8.

15. (1/2)(x + 1) - (x/3)(2x - 1) = -12.

16. x^2 + 4ax = 12a^2.

17. 3x^2 = 2rx + 2r^2.

Solve graphically:

18. x^2 - 2x - 8 = 0.

19. x^2 + x - 2 = 0.