Solve this equation for x: \(x^2 - 4x + 4 = 0\) Solution: In order to solve with our formula, we must identify the three coefficients (A,B,C) in order to begin solving. Remember that A is the coefficient in front of the \(x^2\) term, B is the coefficient in front of \(x\), and C is the constant at the end.
The solution(s) to a quadratic equation can be calculated using the Quadratic Formula: The "±" means you need to do a plus AND a minus, so there are normally TWO solutions ! The blue part ( b 2 - 4ac ) is called the "discriminant", because it can "discriminate" between the possible types of answer.
1. To solve the equation 2x2 +3x−4 = 0, use: solve(2x∧2 + 3x - 4 = 0, x) enter [Note that the comma is a necessary part of the command and is available on the TI-89 keypad. Also enter the right parenthesis. Two roots will be displayed, equivalent to the solutions found “by hand” using the Quadratic Formula.] 2. solve(2x∧2 + 3x + 4 = 0 ...
3. x 2 x 4 0 4. 2x 1 x 6 0 Solve each quadratic equation by factoring. 5. x 2 3x 0 6. x 2 4x 3 0 7. x 2 5x 6 0 8. x 2 11x 24 0 9. x 2 12x 11 0 10. x 2 18x 65 0 11. x 2 4x 12 0 12. x 2 11x 10 0 13. x 2 12x 35 0 14. 2x 2 3x 5 0 15. 3 x 2 5x 2 0 16. x 2 3x 40 17. x 2 14 5x 18. 2x 1 8 x 2 19. x 10 x 2 2