5. Equations in Quadratic Form

In this section, we'll come across equations that are in fact quadratic, but they may not look like it at first glance.

We'll use either of the following methods to solve such equations:

  • Factoring
  • Quadratic formula: `x=(-b+-sqrt(b^2-4ac))/(2a)`

Example 1

Solve: x4 − 20x2 + 64 = 0

Example 2

Solve: `4x+3sqrtx=1`

Continues below

Exercises

1. Solve: ` 4x^4+ 15x^2= 4`

2. Solve `10x^-2+3x^-1-1=0`

top

Search IntMath, blog and Forum

Online Algebra Solver

This algebra solver can solve a wide range of math problems.

Algebra Lessons on DVD

 

Easy to understand algebra lessons on DVD. See samples before you commit.

More info: Algebra videos

The IntMath Newsletter

Sign up for the free IntMath Newsletter. Get math study tips, information, news and updates each fortnight. Join thousands of satisfied students, teachers and parents!

Given name: * required

Family name:

email: * required

See the Interactive Mathematics spam guarantee.