Question

Solve the following equation by the quadratic formula. 4x2 - 2x = 7​

Answer 1

Answer:

$x=\frac{\pm\sqrt{29} +1}{4}$

Step-by-step explanation:

Quadratic Formula: $x=\frac{-b \pm\sqrt{b^2-4ac} }{2a}$

Step 1: Write quadratic equation

4x² - 2x = 7

Step 2: Solve for x

1. Move everything to one side: 4x² - 2x - 7 = 0
2. Define variables: a = 4, b = -2, c = -7
3. Plug into quadratic formula: $x=\frac{-(-2) \pm\sqrt{(-2)^2-4(4)(-7)} }{2(4)}$
4. Evaluate for x: $x=\frac{\pm\sqrt{29} +1}{4}$