What is the solution set for the quadratic equation x2 - 16 = 0?

A)

{4}

B)

{-4, 4}

C)

{256}

D)

{-256, 256}

Question

Mathematics

Ezra Knox

11 December, 03:58

What is the solution set for the quadratic equation x2 - 16 = 0?

A)

{4}

B)

{-4, 4}

C)

{256}

D)

{-256, 256}

+2

Answers (1)

Know the Answer?

Kendal · Answer 1

B) {-4, 4}

Proof:

Solve for x over the real numbers:

x^2 - 16 = 0

The left hand side factors into a product with two terms:

(x - 4) (x + 4) = 0

Split into two equations:

x - 4 = 0 or x + 4 = 0

Add 4 to both sides:

x = 4 or x + 4 = 0

Subtract 4 from both sides:

Answer: x = 4 or x = - 4

What is the solution set for the quadratic equation x2 - 16 = 0?A){4}B){-4, 4}C){256}D){-256, 256}

What is the solution set for the quadratic equation x2 - 16 = 0?

A)

{4}

B)

{-4, 4}

C)

{256}

D)

{-256, 256}