PLEASE HELP
4x^2+2x=7
Solve By Completing the Square
Please show steps!

Step-by-step explanation:

The given quadratic equation is expressed as

4x² + 2x = 7

The first step is to divide both sides of the equation by 4. It becomes

4x²/4 + 2x/4 = 7/4

x² + x/2 = 7/4

The next step is to add the square of half of the coefficient of x to both sides of the equation. It becomes

x² + x/2 + (1/4)² = 7/4 + (1/4)²

(x + 1/4)² = 7/4 + 1/16

(x + 1/4)² = 29/16

Taking square root of both sides of the equation, it becomes

x + 1/4 = ±√29/4

x = - 1/4 ± √29/4

x = (- 1 + √29)/4 or x = (- 1 - √29)/4

x = (- 1 + 5.385)/4 or x = (- 1 - 5.385)/4

x = 1.09625 or x = - 1.59625

both equations and proportions are better.

chiken

step-by-step explanation: