Question

Solve the quadratic equation by using either numeric or graphic approach x^2 + 2x - 3 = 0

Answer 1

d

Explanation:

Solving by factorising

Given

x² + 2x - 3 = 0 ← in standard form

(x + 3)(x - 1) = 0 ← in factored form

Equate each factor to zero and solve for x

x + 3 = 0 ⇒ x = - 3

x - 1 = 0 ⇒ x = 1

Answer 2

d

Explanation:

`x 1= \frac{ - b + \sqrt{ {b}^(2) - 4ac} }{2a} \\ x2 = \frac{ - b - \sqrt{ {b}^(2) - 4ac} }{2a} \\ x1 = \frac{ - 2 + \sqrt{ {2}^(2) - 4* 1 * ( - 3)} }{2} = 1 \\ x2 = \frac{ - 2 - \sqrt{ {2}^(2) - 4 * 1 * ( - 3)} }{2} = - 3`