Question

Which value for x makes the open sentence true? 8 + 3 • x = 2 squared + x squared Question 1 options: 5 4 3 2

Answer 1

Hi Slyther,

Answer - B. 4

8 + 3 * x = 2^2 + x^2

8 + 3 x 4 = 2^2 + 4^2

8 + 12 = 4 + 16

20 = 20

Answer 2

8 + 3 *X = 2^2 + X^2

Simplify:

8 + 3x = 4 +x^2

Subtract x^2 from each side:

8 + 3x - x^2 = 4

subtract 4 from each side:

8 + 3x -x^2 -4 = 0

Simplify:

3x - x^2 +4 = 0

Factor

-(x-4)(x+1) =0

X = 4, -1

The answer would be 4.