Question

Solve x(x - 2) = 4
Using quadratic formula

(Show step by step for the answer because I gotta show my work)

Answer 1

Answer:

x = 1 ± $\sqrt{5}$

Step-by-step explanation:

x(x - 2) = 4

Multiply x on the left side by foil.

$x^{2}- 2x = 4$

Subtract 4 on both sides.

$x^{2} -2x-4=0$

Now, the quadratic formula.

x = (-b ± $\sqrt{b^{2} - 4ac }$) / 2a

Using the standard form equation.

Ax² + Bx + C = 0

(1)x² - 2x - 4 = 0

A = 1

B = -2

C = -4

x = (-(-2) ± $\sqrt{(-2)^{2}-4(1)(-4) }$) / 2(1)

x = (2 ±$\sqrt{4+16}$ ) / 2

x = (2±$\sqrt{20}$)/2

x = (2±2$\sqrt{5}$)/2

x = 1 ± $\sqrt{5}$