Solve the quadratic equation using factoring 9x2 - 16 = 0. (4 points) O x = -3, X = 3
x = -4, * = 4
3 3
X=--X=-
4 4
4
4
X =

the ratio of balloons to tables is 5: 2 and the constant variation is 5.

the equation is y=5x

x^2 + 81

we can factor this using difference of square binomials.

rewrite the equation:

x^2 - (-81)

factor:

(a^2 - b^2) = (√a^2 + √b^2)(√a^2 - √b^2)

(x^2 - (-81) = (x + √-81)(x - √-81)

we can remove the - from under the radical by multiplying it by i.

(x^2 - (-81) = (x + i√81)(x - i√81)

(x^2 - (-81) = (x + 9i)(x - 9i)

we can check our answer by using foil:

x^2 - 9ix + 9ix - 81i^2

x^2 - 81^2

i^2 = -1

x^2 + 81