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

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