Question

Help me solve this equation

Answer 1

Answer:

x = -2 + √7 and x = -2 - √7

Step-by-step explanation:

To ease the solution of this problem, rewrite it in standard quadratic form:

x^2 + 4x - 3 = 0.  

One way to solve this is by completing the square.  We take 4 (the coefficient of x), halve that, obtaining 2, and then square the result, obtaining 4.

Add 4 to x^2 + 4x, and then subtract 4:

x^2 + 4x + 4 - 4 - 3 = 0, or (x + 2)^2 = 7

Taking the sqrt of both sides, we get x + 2 = plus or minus √7.

The solutions are thus x = -2 + √7 and x = -2 - √7.

Answer 2

Answer:

x = 1/2 = 0.500

Step-by-step explanation:

Step  1  :

Pulling out like terms :

1.1     Pull out like factors :

  6x - 3  =   3 • (2x - 1)  

Equation at the end of step  1  :

Step  2  :

Equations which are never true :

2.1      Solve :    3   =  0

This equation has no solution.

A a non-zero constant never equals zero.

Solving a Single Variable Equation :

2.2      Solve  :    2x-1 = 0  

Add  1  to both sides of the equation :  

                     2x = 1  

Divide both sides of the equation by 2:

                    x = 1/2 = 0.500  

One solution was found :

                  x = 1/2 = 0.500