Solve algebraically : 5x^2/2=2(x-2)

Question

Solve algebraically : 5x^2/2=2(x-2)

Answer 1

5x^2/2 = 2(x-2)

 

Multiply both sides by 2, yields:

 

5x^2 = 4(x-2)

 

Distribute the 4, yields:

 

5x^2 = 4x-8

 

draw all terms to left side, yields:

 

5x^2 + (-4)x + 8 = 0

 

a = 5; b = -4; c = 8

 

Apply Quadratic Formula:

 

[-b ± (b^2 - 4ac)^(1/2)] / (2a)