# How do you solve #5x ^ { 2} - 17x + 6= 0#?

##### 2 Answers

Break the trinomial down into two binomials and solve for each binomial

#### Explanation:

The B in this equation is negative.

The C in this equation is positive.

This means that for B to be negative both factors of C must be negative.

The sum of the products of the A factors times the C factors, must equal -17.

So x equals both 2/5 and 3

2/5 and 5

#### Explanation:

Use the new Transforming Method (Socratic, Google Search)

Transformed equation:

Method: find 2 real roots of y', then, divide them by a = 5.

Find 2 real roots of y', knowing sum (-b = 17) and product (ac = 30).

They are : 2 and 15.

Back to original y, the 2 real roots are: