Question

Solve 2x2 + 26 = 0 to identify the roots.

Answer 1

Answer:

Step-by-step explanation:

X=-i√13,x=i√13

Answer 2

Answer:

$x=+/-i\sqrt{13}$

Step-by-step explanation:

To find the roots, factor and set equal to 0 or use the quadratic formula. This quadratic equation does not factor and must be solved using the quadratic formula.

$x=\frac{-b+/-\sqrt{b^2-4ac} }{2a}$

where a = 2, b=0, and c=26

$x=\frac{0+/-\sqrt{0^2-4(2)(26)} }{2(2)} \\x=\frac{+/-\sqrt{-208)} }{4} \\x=\frac{+/-i\sqrt{16*13)} }{4}\\x=\frac{+/4i\sqrt{13} }{4}\\x=+/-i\sqrt{13}$