# How do you solve #3x^2+2=4x #?

##### 1 Answer

#### Explanation:

If able to do so the quickest way is to factorise.

Subtract

Try 1

Try2

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Looks as though we need to use another approach

For detailed method of approach look at

https://socratic.org/s/awA8fpNk

Given:

Write as:

Giving:

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Square root of a negative number means that the curve does not cross the x-axis so there is no solution in the set of numbers called 'Real'. Written as

However there is at least 1 solution in the set of number called 'Complex'. Written as

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So we now have: