Respuesta :
Answer:
±i sqrt(13) = x
Step-by-step explanation:
h(x) = 2x^2 + 26
Set equal to zero to find the roots
0 = 2x^2 + 26
Subtract 26 from each side
-26 = 2x^2
Divide by 2
-13 = x^2
Take the square root of each side
±sqrt(-13) = sqrt(x^2)
±sqrt(-1) sqrt(13) = x
The sqrt(-1) = i, the imaginary number
±i sqrt(13) = x
Answer:
x = i√13 and -i√13
Step-by-step explanation:
The roots are imaginary because the parabola does not cross the x-axis
2x²+26 = 0
2(x² + 13) = 0
x² = -13
x = i√13 and -i√13