Question

Solve the following equation by the quadratic formula. x 2 + x - 1 = 0

Answer 1

x is 1.62 or -0.62

Explanation:

Answer 2

Quadratic Formula:

`\boxed{ \bf{x = (-b \pm √(b^2 - 4ac))/(2a)}}`

Given Quadratic Equation:

x² + x - 1 = 0

a = 1 (Quadratic coefficient)

b = 1 (Linear coefficient)

c = -1 (Constant coefficient)

By substituting values in the formula, we get:

`\rm \longrightarrow x = (-1 \pm √(1^2 - 4(1)( - 1)))/(2 * 1) \\ \\ \rm \longrightarrow x = ( - 1 \pm √(1 + 4) )/(2) \\ \\ \rm \longrightarrow x = ( - 1 \pm √(5) )/(2)`