Question

What are the solutions of 12 - x2 = 0?

O x=25 and x = -2/3
O x = 3/and x = -372
O x = 4,5 and x = -4/3
O x = 6 and x = -6

Answer 1

x = -2sqrt(3), 2sqrt(3)

Explanation:

12 - x² = 0

x² = 12

x = +/- sqrt(12)

x = +/- 2sqrt(3)

sqrt: square root

Answer 2

±2 sqrt(3) =x

Explanation:

12 - x^2 = 0

Add x^2 to each side

12 - x^2 + x^2 = x^2

12 = x^2

Take the square root of each side

±sqrt(12) = sqrt(x^2)

±sqrt(4*3) = sqrt(x^2)

±sqrt(4) sqrt(3) = x

±2 sqrt(3) =x