I just need someone to say correct or not. No explanation unless I am wrong please :D 4x^2 + 6x + 2 = 0 a: 4 b: 6 c: 2
x = -6 +- _/6^2 - 4(4)(2)/2(4) x = -6 +- _/36 - 32/8 x = -6 +- _/4/8 x = -6 +- 2/8 +: x = -4/8 x = -1/2 -: x = -8/8 x = -1
You are correct.
@Ciarán95 @pooja195 @mathmate
So what would be the answer? Its a fill in the blank kinda thing
x= -1/2, -1
It says numerical answers expected..
@OswaldMurphy Yes, your solution is correct.
Wouldn't it be x= -1/2, -1?
Numerical Answers.
Typically when a quadratic can be factored, we mean it can be factored using rational numbers. The next question to ask if a quadratic can be factored is therefore "is the solution rational?". @OswaldMurphy which part of the quadratic formula could introduce irrational numbers?
Squaring
rational number means a number that can be represented by a fraction, such as 22/7, -4, etc. Irriational numbers canNOT be represented by a fraction, such as \(\pi,\sqrt{3}\), etc. Do you think the quadratic formula below can introduce an irrational number, and where? \(\Large \frac{-b\pm\sqrt{b^2-4ac}}{2a}\)
The division
Please show me an example of a division that makes irrational numbers.
Recall that 22/7 is a rational number.
Yes.
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