For which equation does it make the most sense to solve by completing the square?

A) 5x² + 3x = 9

B) x² + 20x = 52

C) x^2-8=1

D) 3x^2-x+17=0

Question

Mathematics

Shyann Nguyen

16 August, 15:43

For which equation does it make the most sense to solve by completing the square?

A) 5x² + 3x = 9

B) x² + 20x = 52

C) x^2-8=1

D) 3x^2-x+17=0

+4

Answers (1)

Know the Answer?

Tilly · Answer 1

Completing the square is a method used to solve a quadratic equation by changing the shape of the equation so that the left side is a perfect square trinomial.

The following equation makes more sense to solve it complete squares:

x² + 20x = 52

We have then:

x² + 20x + (10) ^ 2 = 52 + 100

(x + 10) ² = 152

Answer:

The most sense to solve by completing the square is for:

B) x² + 20x = 52

For which equation does it make the most sense to solve by completing the square?A) 5x² + 3x = 9B) x² + 20x = 52C) x^2-8=1D) 3x^2-x+17=0

For which equation does it make the most sense to solve by completing the square?

A) 5x² + 3x = 9

B) x² + 20x = 52

C) x^2-8=1

D) 3x^2-x+17=0