Posted by **Jess** on Tuesday, July 10, 2007 at 3:35am.

Solve the quadratic equation.

4x^2-8x+3=5

4x² - 8x +3 - 5 = 0

4x²- 8x - 2 = 0

2x²- 4x -1 = 0

this is as far as I got. I am stuck and do not know what to do next can some one please help?

divide by two:

x²- 2x -1/2 = 0

Now add 1.5 to each side to complete the square:

x²- 2x -1/2 +1.5 = +1.5

(x-1)

^{2}=1.5

subtract 1.5 from each side

(x-1)

^{2} -1.5 = 0

Now you have a difference of squares (1.5 is sqrt (3/2) squared..)

[x-1-sqrt3/2][x-1+sqrt3/2] = 0

divide by two:

x²- 2x -1/2 = 0

Now add 1.5 to each side to complete the square:

x²- 2x -1/2 +1.5 = +1.5

(x-1)

^{2}=1.5

subtract 1.5 from each side

(x-1)

^{2} -1.5 = 0

Now you have a difference of squares (1.5 is sqrt (3/2) squared..)

[x-1-sqrt3/2][x-1+sqrt3/2] = 0

the answer is 0

## Answer This Question

## Related Questions

- Algebra - 1. What polynomial has a graph that passes through the given points...
- Algebra - Directions: Find the prime factors of the polynomials 1. a. 2a2 - 2b2 ...
- maths - Write the system as a matrix equation and solve using inverses. x1 + 2x2...
- Algebra - What are the solutions of the quadratic equation below? 4x2 - 30x + 45...
- Calc - The slope of a curve at each point (x,y) is given by 4x - 1. Which of the...
- Math: Please check my answers - 1. What is the degree of the monomial 3x2y3? 2 3...
- algebra - Put the equation in the form ax2 + bx + c = 0. Enter exponents using ...
- Maths - f:x -> (4x²-8x-21)/(x²-1) (a) Analyse (b) Sketch I'm struggling on (a...
- calculus - Consider the function below. f(x) = 4x2 - 5x (a) Find f '(2). (b) Use...
- Calculus - Which of the following is the general solution of the differential ...

More Related Questions