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Zolol [24]
3 years ago
12

Solve 2x2 + x − 4 = 0. x^2 + ____x+____ = 0

Mathematics
2 answers:
denis23 [38]3 years ago
6 0

Answer:

1/2     -2

Step-by-step explanation:

alisha [4.7K]3 years ago
3 0

Kate: Please, for clarity, use " ^ " to denote exponentiation: 2x^2 + x − 4 = 0


And please include the instructions.


2x^2 + x − 4 = 0 can be re-written: 2(x^2 + (1/2)x - 2) = 0


Dividing both sides by 2 results in x^2 + (1/2)x - 2 = 0


Let's "complete the square:" x^2 + (1/2)x + (1/4)^2 - (1/4)^2 = 0


Then (x+(1/4))^2 = (1/4)^2


Taking the sqrt of both sides: x+1/4 = plus or minus 1/4


Solving for x: x = -1/4 plus or minus 1/4


Solving for x (continued): x = 0 and x = -1/2

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