# How do you solve #3x² – 16x + 5 = 0#?

##### 2 Answers

#### Explanation:

Factorise into

For the left hand side to be zero, the contents of one of the brackets must evaluate to zero, hence

or

Alternatively you can use the quadratic formula for equations of the from

So in this case, a = 3, b = -16 and c = 5.

#### Explanation:

Another way is to use the Transforming Method (Google, Yahoo Search)

Find the real roots of the transformed equation:

Since a + b + c = 0, use shortcut, the 2 real roots are: X1 = 1 and

Back to original equation y, the 2 real roots are:

and