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The product of the roots of the equation x2 + x = 2 is: -2

User Tnschmidt
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2 Answers

5 votes

Explanation:

There are answers to this problem based on how we interpret this question.

If the question is x^2 + x =2

=> x = 1

Since, 1^2 + 1 = 2.

Another way to interpret this question is 2x+ x = 2

=> 3x = 2

=> x= 2/3

The answer differs based on how we interpret this question.

Hope this helps you.

User Manderson
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4.4k points
4 votes

Answer:

-2

Explanation:

The EASIEST way to do this is using the laws of the sum and products of roots.

When you multiply two roots together, you simply get c/a

So, let's start:

x^2 + x = 2

subtract the 2 to get a quadratic equation equal to 0

x^2 + x -2 =0

Now,

a=1

b=1

c=-2

plug b and a into c/a

-(2/1)= -(2) = -2

The answer is -2.

It's NOT 1. the answer would be 1 IF it was adding the roots.

User Toddleson
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4.6k points