Question

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

Answer 1

Explanation:

X=-i√13,x=i√13

Answer 2

`x=+/-i√(13)`

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=(-b+/-√(b^2-4ac) )/(2a)`

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

`x=(0+/-√(0^2-4(2)(26)) )/(2(2)) \\x=(+/-√(-208)) )/(4) \\x=(+/-i√(16*13)) )/(4)\\x=(+/4i√(13) )/(4)\\x=+/-i√(13)`