# How do you solve #4x^2+17x+15=0#?

##### 3 Answers

#### Explanation:

Do

Then

So

#### Explanation:

Method 1. Use the improved quadratic formula

There are 2 real roots:

Method 2. Use the new Transforming Method (Socratic, Google Search)

Transformed equation:

Proceeding. Find the 2 real roots of y', then, divide them by a = 4.

Find 2 real roots, bot negative (Rule of signs), knowing the sum (-b = -17), and the product (ac = 60). They are - 5 and - 12.

The 2 real roots of y are:

#### Explanation:

Factorise the quadratic trinomial.

Find factors of

The signs are all positive.

Either factor can be equal to

If

If