(NEED ASAP) Quadratic Equations

Question

Quadratic Equations

You must choose a different algebraic method for solving each equation below. Explain the method you would use, as well as why you would use that method.

1.    2x^2 – 5x – 12 = 0

2.    X^2 = 24

3.    X^2 + 8x + 8 = 0

Answer 1

Equation 1 can be factored. Factor it using the methods you have been taught and set each binomial equal to zero. The answers will be x = -3/2 and x = 4

Equation 2 you can take the square root of both sides. Remember that the square root has both a positive and negative version. Also remember that you can simplify √24 so ±√24 will not be your final answer.

Equation 3 you can use the quadratic formula. x = [-b ± √(b² - 4ac)]/(2a) where a = 1, b = 8 and c = 8. You should get -4 ± 2√2

Answer 2

Question 1 can be factorized. Choose +3 and -8.

2x^2 - 5x - 12

2x^2 - 8x + 3x - 12

2x (x - 4) + 3(x -4)

x = 4 or -3/2

Question 2

X^2 = 24

x = sqt(24)

x = 4.90

Questions 3

Please, use the general formula (almighty formula) to solve it since it not factorizable

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