Answer:
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