Respuesta :

Answer:

x=2

Step-by-step explanation:

x^2 + 4x - 16 = 0

I'm using the quadratic formula to solve this equation.

A = 1

B = 4

C = -16

x = -b +- [tex]\sqrt{b^2 - 4ac}[/tex]  

over 2a

Plug it in:

x= -4 +- [tex]\sqrt{4^2 -4(-16)}[/tex] over 2

x= -4 +- [tex]\sqrt{16+64[/tex] over 2

x = -4 +-[tex]\sqrt{80}[/tex] over 2

x = -4 +- 4[tex]\sqrt{5[/tex]

Divide by 2.

x = -2 +- 2[tex]\sqrt{5[/tex]

Therefore, x would be -2 + 2[tex]\sqrt{5}[/tex], -2 - 2[tex]\sqrt{5}[/tex]

Convert to decimal form: 2.47213595, -6.47213595

Round it: 2.4714595 = 2.5 and -6.47213595 = -6.5